{"title":"Majorana transformation of the Thomas–Fermi equation demystified","authors":"Abdaljalel Alizzi, Zurab K. Silagadze","doi":"10.1142/s0217732324500160","DOIUrl":"https://doi.org/10.1142/s0217732324500160","url":null,"abstract":"<p>The Majorana transformation makes it possible to reduce the Thomas–Fermi equation to a first-order differential equation. This reduction is possible due to the special scaling property of the Thomas–Fermi equation under homology transformations. Such reductions are well known in the context of stellar astrophysics, where the use of homology-invariant variables has long proved useful. We use homology-invariant variables in the context of the Thomas–Fermi equation to demystify the origin of the otherwise mysterious Majorana transformation.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Examining the influence of hadronic interactions on the directed flow of identified particles in RHIC Beam Energy Scan energies using UrQMD model","authors":"Aswini Kumar Sahoo, Prabhupada Dixit, Md Nasim, Subhash Singha","doi":"10.1142/s0217732324500159","DOIUrl":"https://doi.org/10.1142/s0217732324500159","url":null,"abstract":"<p>The directed flow of identified particles can serve as a sensitive tool for investigating the interactions during initial and final states in heavy ion collisions. This study examines the rapidity distribution (<span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>d</mi><mi>N</mi><mo stretchy=\"false\">∕</mo><mi>d</mi><mi>y</mi></math></span><span></span>), rapidity-odd directed flow (<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>v</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span><span></span>) and its slope (<span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>d</mi><msub><mrow><mi>v</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">∕</mo><mi>d</mi><mi>y</mi></math></span><span></span>) for <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup></math></span><span></span>, <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>K</mi></mrow><mrow><mo>±</mo></mrow></msup></math></span><span></span>, p, and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mover accent=\"true\"><mrow><mstyle><mtext mathvariant=\"normal\">p</mtext></mstyle></mrow><mo>̄</mo></mover></math></span><span></span> in Au+Au collisions at different collision centralities and beam energies (<span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><msqrt><mrow><msub><mrow><mi>s</mi></mrow><mrow><mstyle><mtext mathvariant=\"normal\">NN</mtext></mstyle></mrow></msub></mrow></msqrt><mo>=</mo><mn>7</mn><mo>.</mo><mn>7</mn></math></span><span></span>, 11.5, 14.5, 19.6, 27, and 39<span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mspace width=\".17em\"></mspace></math></span><span></span>GeV) using the UrQMD model. We investigate the impact of late-stage hadronic interactions on charge-dependent <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>v</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">(</mo><mi>y</mi><mo stretchy=\"false\">)</mo></math></span><span></span> and its slope by modifying the duration of the hadronic cascade lifetime (<span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><mi>τ</mi></math></span><span></span>). The energy dependence of <span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mi>d</mi><msub><mrow><mi>v</mi></mrow><mrow><mn>1</mn></mrow></msub><mo stretchy=\"false\">∕</mo><mi>d</mi><mi>y</mi></math></span><span></span> for p (<span><math altimg=\"eq-00012.gif\" display=\"inline\" overflow=\"scroll\"><mover accent=\"true\"><mrow><mstyle><mtext mathvariant=\"normal\">p</mtext></mstyle></mrow><mo>̄</mo></mover></math></span><span></span>) exhibits distinct pattern compared to <span><math altimg=\"eq-00013.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup></math></span><span></span> and <span><math altimg","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja
{"title":"Improved empirical formula for spontaneous fission half-lives","authors":"A. V. Mahesh Babu, N. Dhananjaya, H. C. Manjunatha, N. Sowmya, A. M. Nagaraja","doi":"10.1142/s0217732324500184","DOIUrl":"https://doi.org/10.1142/s0217732324500184","url":null,"abstract":"<p>The spontaneous fission (SF) half-lives of all 96 experimentally accessible SF emitters were examined. The SF emitters are classified as even <i>Z</i>-even <i>A</i>, odd <i>Z</i>-even <i>A</i>, odd <i>Z</i>-odd <i>A</i> and even <i>Z</i>-odd <i>A</i>. A plot of <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mo>log</mo><msub><mrow><mi>T</mi></mrow><mrow><mn>1</mn><mo stretchy=\"false\">∕</mo><mn>2</mn></mrow></msub><mo>+</mo><mi>k</mi><mi>δ</mi><mi>m</mi></math></span><span></span> versus <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup><mo stretchy=\"false\">∕</mo><mi>A</mi></math></span><span></span> demonstrates a straight line, where <i>k</i> is variable. The <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mo>log</mo><msub><mrow><mi>T</mi></mrow><mrow><mn>1</mn><mo stretchy=\"false\">∕</mo><mn>2</mn></mrow></msub></math></span><span></span> values produced in this study are compared to all other semi-empirical relations such as Ren <i>et al.</i>, [<i>Nucl. Phys. A</i> <b>759</b>, 64 (2005)], Xu <i>et al.</i>, [<i>Phys. Rev. C</i> <b>78</b>, 044329 (2008)], Santhosh <i>et al.</i>, [<i>Nucl. Phys. A</i> <b>832</b>, 220 (2010)] and Karpov <i>et al.</i>, [<i>Int. J. Mod. Phys. E</i> <b>21</b>, 1250013 (2012)] available in the literature. When compared to earlier semi-empirical equations accessible in the literature, the new formula shows reduced uncertainty in standard deviation in the case of Odd <i>Z</i>-even <i>A</i> and even <i>Z</i>-Odd <i>A</i> nuclei. When compared to other sets of combinations (even <i>Z</i>-even <i>A</i>, and odd <i>Z</i>-odd <i>A</i> nuclei), this study more accurately reproduces the experimental SF half-lives for even <i>Z</i>-odd <i>A</i> and odd <i>Z</i>-even <i>A</i> nuclei with smaller <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>σ</mi></math></span><span></span> in the atomic number range 9<span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mn>0</mn><mo>≤</mo><mi>Z</mi><mo>≤</mo><mn>1</mn></math></span><span></span>12 and mass number range 23<span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><mn>2</mn><mo>≤</mo><mi>A</mi><mo>≤</mo><mn>2</mn></math></span><span></span>84.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wei-Min Shi, Pan Tian, Shou Wang, Yu-Guang Yang, Yi-Hua Zhou
{"title":"Quantum hash function based on continuous quantum walks","authors":"Wei-Min Shi, Pan Tian, Shou Wang, Yu-Guang Yang, Yi-Hua Zhou","doi":"10.1142/s0217732323501894","DOIUrl":"https://doi.org/10.1142/s0217732323501894","url":null,"abstract":"<p>A method of constructing a quantum hash function (QHF) based on continuous-time quantum walk is proposed, in which the time of quantum walk is controlled by the binary string message, namely, a binary string message as the input of the constructed QHF and the probability value of finally walking to the nodes on the cycle is used as the output of the QHF. Numerical simulation and performance analysis show that our QHF has obvious advantages in the efficiency of the QHF compared with the existing QHF based on the discrete-time quantum walk, that is, the efficiency of our scheme is nearly 4 times faster in computing the hash value of the same size file compared with the most efficient scheme. Besides, the QHF has also better collision resistance compared with the existing QHF based on the discrete-time quantum walk.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Probing the speed of gravitational waves beyond general relativity from CMB observations","authors":"Jun Li, Guang-Hai Guo, Yongcan Zu","doi":"10.1142/s0217732324500196","DOIUrl":"https://doi.org/10.1142/s0217732324500196","url":null,"abstract":"<p>In modified gravity theories, gravitational waves can propagate differently from general relativity and their propagating speed can be either constant or acquire a time dependence. We consider the constant models first and update the constraints on cosmological parameters from the combinations of <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">Planck</mtext></mstyle><mn>1</mn><mn>8</mn><mo>+</mo><mstyle><mtext mathvariant=\"normal\">BK</mtext></mstyle><mn>1</mn><mn>8</mn></math></span><span></span> datasets. In this case, excluding superluminal propagation, we obtain the lower limit on the speed <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>c</mi></mrow><mrow><mi>g</mi></mrow></msub><mo>></mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>2</mn></math></span><span></span> at 95% C.L. A non-trivial propagating speed impacts the amplitude of tensor spectrum by adding a factor <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>c</mi></mrow><mrow><mi>g</mi></mrow><mrow><msub><mrow><mi>n</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>−</mo><mn>1</mn></mrow></msubsup></math></span><span></span>, where <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>n</mi></mrow><mrow><mi>t</mi></mrow></msub></math></span><span></span> is the tensor tilt. We find that the value of <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>c</mi></mrow><mrow><mi>g</mi></mrow></msub></math></span><span></span> has positive correlation with the tensor-to-scalar ratio and anti-correlation with the factor <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msubsup><mrow><mi>c</mi></mrow><mrow><mi>g</mi></mrow><mrow><msub><mrow><mi>n</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>−</mo><mn>1</mn></mrow></msubsup></math></span><span></span>. Then we explore a time-dependent speed which contains the resonance of the stochastic gravitational wave background. If the speed of gravitational waves oscillates at primordial era, resonance continuously enhances stochastic gravitational wave background which produces observable effects on tensor power spectra. We derive the constraints on the amplitude of oscillatory speed and tensor parameters from the combinations of <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">Planck18</mtext></mstyle><mo>+</mo><mstyle><mtext mathvariant=\"normal\">BK18</mtext></mstyle></math></span><span></span> datasets. The numerical results show that the speed resonance of the stochastic gravitational wave background is sensitive to CMB observations.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140598443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The accelerated expansion in F(G,TμνTμν) gravity","authors":"Mihai Marciu, Dana Maria Ioan","doi":"10.1142/s0217732324500275","DOIUrl":"https://doi.org/10.1142/s0217732324500275","url":null,"abstract":"<p>In this paper, the basic Einstein–Hilbert cosmological model is extended by adding a new functional <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>F</mi><mo stretchy=\"false\">(</mo><mi>G</mi><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub><msup><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span> in the fundamental action, encoding specific geometrical effects due to a nontrivial coupling with the Gauss–Bonnet invariant (<i>G</i>), and the energy–momentum squared term (<span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub><msup><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msup></math></span><span></span>). After obtaining the corresponding gravitational field equations for the specific decomposition where <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>F</mi><mo stretchy=\"false\">(</mo><mi>G</mi><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub><msup><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msup><mo stretchy=\"false\">)</mo><mo>=</mo><mi>f</mi><mo stretchy=\"false\">(</mo><mi>G</mi><mo stretchy=\"false\">)</mo><mo>+</mo><mi>g</mi><mo stretchy=\"false\">(</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msub><msup><mrow><mi>T</mi></mrow><mrow><mi>μ</mi><mi>ν</mi></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span>, we have explored the physical features of the cosmological model by considering the linear stability theory, an important analytical tool in the cosmological theory which can reveal the dynamical characteristics of the phase space. The analytical exploration of the corresponding phase space structure revealed that the present model can represent a viable dark energy model, with various stationary points where the effective equation of state corresponds to a de-Sitter epoch, possible explaining the early and late time acceleration of the Universe.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On information paradox and the fate of black holes","authors":"A. Morozov","doi":"10.1142/s0217732324500251","DOIUrl":"https://doi.org/10.1142/s0217732324500251","url":null,"abstract":"<p>A sketchy review of the “island” paradigm in black hole evaporation theory, which actually brings us back to the old idea that interior of black hole decouples from our universe after Page time, so that Hawking radiation is entangled with emerging new universe, thus leaving no room for the information paradox. Instead this provides a self-consistent description of multiverse, where every black hole in a parent universe is a white hole — the origin — of a new one.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Mössbauer rotor effect, clock synchronization and third postulate of relativity","authors":"Christian Corda","doi":"10.1142/s0217732324500147","DOIUrl":"https://doi.org/10.1142/s0217732324500147","url":null,"abstract":"<p>The Mössbauer rotor effect recently gained a renewed interest due to the discovery and explanation of an additional effect of clock synchronization which has been missed for about 50 years, i.e. starting from a famous book of Pauli, till some more recent experimental analyses. The theoretical explanation of such an additional effect is due to some recent papers in the general relativistic framework. Here, we show that the additional effect of clock synchronization can be calculated in another way via the third postulate of relativity.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140196296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Hosseinian Rostami, S. M. Motevalli, N. Amrani, S. S. Hosseini
{"title":"Prediction on the alpha decay half-lives of 223−243Am isotopes","authors":"M. Hosseinian Rostami, S. M. Motevalli, N. Amrani, S. S. Hosseini","doi":"10.1142/s021773232450010x","DOIUrl":"https://doi.org/10.1142/s021773232450010x","url":null,"abstract":"<p>We studied the alpha decay half-life of Americium isotopes (<span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mstyle><mtext mathvariant=\"normal\">Z</mtext></mstyle><mo>=</mo><mn>9</mn><mn>5</mn></math></span><span></span>) with mass numbers ranging from 223 to 243. Our investigation employed the Coulomb and proximity potential model (CPPM), in addition to alternative analytical and semiempirical formulas. The calculations took into <i>account</i> both experimental and theoretical Q-values, as well as the total alpha kinetic energy. We analyzed the behavior of the hindrance factor concerning changes in the mass numbers of parent nuclei within the range of 223–243, and also examined the impact of magic numbers associated with closed shells. To evaluate the accuracy of our findings, we utilized the SemFIS, UNIV, and Royer formulas to make predictions, which were then compared to the existing experimental data.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermodynamics of black holes charged with a conformally invariant electrodynamics in (n+1)-dimensional scalar-tensor theory","authors":"M. Dehghani","doi":"10.1142/s0217732324500093","DOIUrl":"https://doi.org/10.1142/s0217732324500093","url":null,"abstract":"<p>The Jordan frame (JF) field equations of scalar-tensor (ST) theory are strongly coupled and, the exact solutions cannot be obtained easily. By using the conformal transformation (CT), the ST action has been translated to the Einstein frame (EF) where the theory is known as the Einstein-dilaton (Ed) gravity. Also, an <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo stretchy=\"false\">)</mo></math></span><span></span>-dimensional electromagnetic Lagrangian has been introduced which remains invariant under CT. The Ed-conformal-invariant field equations, which are confronted with the mathematical indeterminacy problem, have been solved by use of a power-law ansatz function. We have introduced two classes of black holes (BHs) which are asymptotically non-flat and non-AdS. The Ed exact solutions can produce BHs with three, two, one and without horizons. By calculating the thermodynamic quantities, and making use of the Smarr mass relation it has been shown that the thermodynamical first law is valid in the EF. Thermal stability of Ed BHs has been analyzed by considering specific heats, thermodynamic Ricci scalars and Gibbs free energies, separately. Then using the inverse CTs, the ST exact solutions have been obtained which show two classes of horizonless, one-horizon, two-horizon and three-horizon BHs. We found that CTs preserve thermodynamic quantities and, thermodynamic properties of the ST BHs are just like those of Ed ones.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}