Fortschritte Der Physik-Progress of Physics最新文献

{"title":"Unification of Gravity and Internal Interactions","authors":"Spyros Konitopoulos,&nbsp;Danai Roumelioti,&nbsp;George Zoupanos","doi":"10.1002/prop.202300226","DOIUrl":"10.1002/prop.202300226","url":null,"abstract":"<p>In the gauge theoretic approach of gravity, general relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the curved manifold. However, the tangent group of a manifold of dimension <i>d</i> is not necessarily <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <msub>\u0000 <mi>O</mi>\u0000 <mi>d</mi>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$SO_d$</annotation>\u0000 </semantics></math>. It has been suggested earlier that by gauging an enlarged symmetry of the tangent space in four dimensions one could unify gravity with internal interactions. Here, such a unified model is considered by gauging the <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <msub>\u0000 <mi>O</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mn>1</mn>\u0000 <mo>,</mo>\u0000 <mn>17</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$SO_{(1,17)}$</annotation>\u0000 </semantics></math> as the extended Lorentz group overcoming in this way some difficulties of the previous attempts of similar unification and eventually obtained the <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <msub>\u0000 <mi>O</mi>\u0000 <mn>10</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$SO_{10}$</annotation>\u0000 </semantics></math> GUT, supplemented by an <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 <msub>\u0000 <mi>U</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <mo>×</mo>\u0000 <mi>S</mi>\u0000 <msub>\u0000 <mi>U</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$SU_2 times SU_2$</annotation>\u0000 </semantics></math> global symmetry.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202300226","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135093004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Lesson from \u0000 \u0000 \u0000 R\u0000 \u0000 τ\u0000 τ\u0000 \u0000 \u0000 K\u0000 \u0000 (\u0000 *\u0000 )\u0000 \u0000 \u0000 \u0000 $R_{tau tau }^{K^{(ast )}}$\u0000 and \u0000 \u0000 \u0000 R\u0000 \u0000 ν\u0000 ν\u0000 \u0000 \u0000 K\u0000 \u0000 (\u0000 *\u0000 )\u0000 \u0000 \u0000 \u0000 $R_{nu nu }^{K^{(ast )}}$\u0000 at Belle II","authors":"Arturo de Giorgi,&nbsp;Gioacchino Piazza","doi":"10.1002/prop.202300200","DOIUrl":"10.1002/prop.202300200","url":null,"abstract":"<p>Within the assumption of Left-Handed (LH) New Physics (NP), the relations between <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>B</mi>\u0000 <mo>(</mo>\u0000 <mi>B</mi>\u0000 <mo>→</mo>\u0000 <msup>\u0000 <mi>K</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>*</mo>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 <msup>\u0000 <mi>τ</mi>\u0000 <mo>+</mo>\u0000 </msup>\u0000 <msup>\u0000 <mi>τ</mi>\u0000 <mo>−</mo>\u0000 </msup>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$mathcal {B}(Brightarrow K^{(ast )} tau ^+tau ^-)$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>B</mi>\u0000 <mo>(</mo>\u0000 <mi>B</mi>\u0000 <mo>→</mo>\u0000 <msup>\u0000 <mi>K</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>*</mo>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 <mi>ν</mi>\u0000 <mover>\u0000 <mi>ν</mi>\u0000 <mo>¯</mo>\u0000 </mover>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$mathcal {B}(Brightarrow K^{(ast )} nu bar{nu })$</annotation>\u0000 </semantics></math> for several Beyond the Standard Model (BSM) scenarios are reviewed, commonly considered to explain the Lepton flavor Universality (LFU) violation observed in charged and neutral-current semileptonic <i>B</i> decays. The latest <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>R</mi>\u0000 <msup>\u0000 <mi>D</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>*</mo>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 </msub>\u0000 <annotation>$R_{D^{(ast )}}$</annotation>\u0000 </semantics></math> world averages that include the recent LHCb measurement and assess the possibility of simultaneously explaining <i>B</i>-anomalies without spoiling current bounds on di-neutrino and di-tau modes are employed. This is particularly relevant in light of the upcoming results by Belle II on neutrinos and the continuing improvement in accuracy and sensitivity achieved in tau modes.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202300200","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135475364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Cover Picture: Fortschritte der Physik 10–11 / 2023","authors":"","doi":"10.1002/prop.202300909","DOIUrl":"https://doi.org/10.1002/prop.202300909","url":null,"abstract":"<p>The cover picture shows a particular Mandelbrot fractal, which nicely describes a chaotic system in physics.</p><p>(Cover image © Astronira/Shutterstock)\u0000\u0000 <figure>\u0000 <div><picture>\u0000 <source></source></picture><p></p>\u0000 </div>\u0000 </figure></p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"71 10-11","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71942042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Issue Information: Fortschritte der Physik 10–11 / 2023","authors":"","doi":"10.1002/prop.202300910","DOIUrl":"https://doi.org/10.1002/prop.202300910","url":null,"abstract":"","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"71 10-11","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71942041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"AdS Black Hole Thermodynamics and Microstructures from \u0000 \u0000 \u0000 f\u0000 (\u0000 Q\u0000 )\u0000 \u0000 $f(Q)$\u0000 Gravitation","authors":"Oleksii Sokoliuk,&nbsp;Sneha Pradhan,&nbsp;Alexander Baransky,&nbsp;Pradyumn Kumar Sahoo","doi":"10.1002/prop.202300043","DOIUrl":"10.1002/prop.202300043","url":null,"abstract":"<p>The significant properties and phase transition of charged Anti-de Sitter (AdS) black holes have been extensively studied in a variety of modified theories of gravity in the presence of numerous matter fields. The goal of the current research is to investigate the AdS black hole's thermodynamics under the impact of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>Q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(Q)$</annotation>\u0000 </semantics></math> gravity. Additionally, this paper explores the black hole's local stability and phase structure under the relevant gravity. Besides, Ruppeiner geometry is used to look into the AdS black hole's microscopic structure. The Ricci curvature scalar <i>R</i> to explain the interactions between the AdS black hole's microscopic particles under the influence of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>Q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(Q)$</annotation>\u0000 </semantics></math> gravity have been numerically computed.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135818168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Cosmology of Metric-Affine \u0000 \u0000 \u0000 R\u0000 +\u0000 β\u0000 \u0000 R\u0000 2\u0000 \u0000 \u0000 $R + beta R^2$\u0000 Gravity with Pure Shear Hypermomentum","authors":"Damianos Iosifidis,&nbsp;Ratbay Myrzakulov,&nbsp;Lucrezia Ravera","doi":"10.1002/prop.202300003","DOIUrl":"10.1002/prop.202300003","url":null,"abstract":"<p>In this paper, cosmological aspects of metric-affine <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mo>(</mo>\u0000 <mi>R</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$f(R)$</annotation>\u0000 </semantics></math> gravity with hyperfluid are studied. The equations of motion of the theory are obtained by varying the action with respect to the metric and the independent connection. Subsequently, considering a Friedmann-Lemaître-Robertson-Walker background, the modified Friedmann equations in the presence of a perfect cosmological hyperfluid is derived. Especially, a particular case in which <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>f</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>R</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mo>=</mo>\u0000 <mi>R</mi>\u0000 <mo>+</mo>\u0000 <mi>β</mi>\u0000 <msup>\u0000 <mi>R</mi>\u0000 <mn>2</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$f(R)=R+beta R^2$</annotation>\u0000 </semantics></math> is focused, considering purely shear hypermomentum and finding exact solutions in the weak coupling limit.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202300003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135932878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Scalar Perturbations of Gravitational Collapse under Homotopy Perturbation Method: A Critical Study on the Rectangular and Price Potential","authors":"Abdul Aziz,&nbsp;Amit Das,&nbsp;Saibal Ray","doi":"10.1002/prop.202300029","DOIUrl":"10.1002/prop.202300029","url":null,"abstract":"<p>In order to unveil different features of gravitational waves due to massive objects like black hole etc., researchers primarily attempt to find the corresponding quasi normal modes from the relevant wave equations. In the present article, homotopy perturbation method (HPM) is employed to obtain the wave functions by solving wave equations for one-dimensional potential barriers. Under this scheme (i) for constant potential barrier a generalized solution which reduces to the known solution as done by Chandrasekhar and Detweiler [Proc. R. Soc. Lond. A <b>344</b> (1975) 441] is produced, (ii) the wave equation for the Price potential [Phys. Rev. D <b>5</b> (1972) 2419; Phys. Rev. D <b>5</b> (1972) 2439] by HPM is solved. The wave functions (graphically) as well as quasi-normal modes to those of the Press solution (1973) are compared. The present investigation is important in connection to further study related to the Zerilli potential and Regge-Wheeler potential in case of black hole.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135871270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Singularity Free Star Model Characterized by Quintessence Field in Quadratic \u0000 \u0000 \u0000 f\u0000 (\u0000 Q\u0000 )\u0000 \u0000 $f(Q)$\u0000 Gravity","authors":"Piyali Bhar","doi":"10.1002/prop.202300183","DOIUrl":"10.1002/prop.202300183","url":null,"abstract":"&lt;p&gt;In the context of the &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;f&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;Q&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$f(Q)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; theory of gravity, a spherically symmetric quintessence DE model in this article is offered. For this reason, &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;f&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;Q&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$f(Q)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; has the formula &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;f&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;Q&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mi&gt;a&lt;/mi&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;Q&lt;/mi&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;/msup&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;mi&gt;Q&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$f(Q)=aQ^2+Q$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, where &lt;i&gt;Q&lt;/i&gt; stands for the non-metricity scalar and ‘a’ is the coupling constant for modified gravity has been taken into account. It is supposed that the quintessence field defined by the parameter &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;ω&lt;/mi&gt;\u0000 &lt;mi&gt;q&lt;/mi&gt;\u0000 &lt;/msub&gt;\u0000 &lt;annotation&gt;$omega _q$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, where &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;ω&lt;/mi&gt;\u0000 &lt;mi&gt;q&lt;/mi&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;∈&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mfrac&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/mfrac&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$omega _q in (-1,,-frac{1}{3})$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, controls the energy-momentum tensor of the underlying fluid distribution. The relationship between several physical parameters for the selected values of ‘a’, by choosing the metric potentials suggested by the Krori-Barua [Krori and Barua; &lt;i&gt;J. Phys. A, Math. Gen&lt;/i&gt;. &lt;b&gt;8&lt;/b&gt;: 508, 1975] is investigated. Further, a number of analyses in detail to examine the physical validity of the proposed stellar model are carried out. The consequences of the compact star system caused by the connection of matter and geometry are succinctly described. The maximum allowable mass an","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136382240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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":"Can Charged Stars be Singularity-Free?","authors":"Sudan Hansraj,&nbsp;Chevarra Hansraj,&nbsp;Abdelghani Errehymy,&nbsp;Lushen Moodly","doi":"10.1002/prop.202300180","DOIUrl":"10.1002/prop.202300180","url":null,"abstract":"<p>While the configuration of a static spherically symmetric distribution of perfect fluid in an electric field has received extensive attention in the literature, only a few works have investigated the conformally flat case. The model exhibits a remarkable property being regular or singularity free is proposed. This is unexpected given that Coulombic repulsion opposes the collapse of a star to the center generally making the center unreachable. The conformally flat geometry thus enables the approach to the center of a charged star as shown in our model. Presently there is no known reported exact model that satisfies all the elementary requirements for physical acceptability. Some reported models that have claimed to be physically reliable have been shown to be deficient. The conditions for the existence of physically relevant models and show that exact solutions satisfying the conditions exist is investigated. Then a model satisfying all the requirements with isotropic particle pressure graphically for a carefully chosen parameter space is exhibited. The model admits a barotropic equation of state. The interior spacetime is successfully matched to the exterior Reissner-Nordstrom metric. The causality criterion as well as the adiabatic stability lower bound of Chandrasekar are shown to hold. The energy conditions are also valid within the stellar radius. Other interesting models are considered.</p>","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202300180","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135254989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Black Holes as Frozen Stars: Regular Interior Geometry","authors":"Ram Brustein,&nbsp;Allan Joseph Michael Medved,&nbsp;Tom Shindelman,&nbsp;Tamar Simhon","doi":"10.1002/prop.202300188","DOIUrl":"10.1002/prop.202300188","url":null,"abstract":"&lt;p&gt;The authors have proposed a model geometry for the interior of a regular black hole (BH) mimicker, the frozen star, whose most startling feature is that each spherical shell in its interior is a surface of infinite redshift. The geometry is a solution of the Einstein equations which is sourced by an exotic matter with maximally negative radial pressure. The frozen star geometry is previously presented in singular coordinates for which &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;g&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$-g_{tt}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;g&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;r&lt;/mi&gt;\u0000 &lt;mi&gt;r&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;annotation&gt;$g^{rr}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; vanish in the bulk and connect smoothly to the Schwarzschild exterior. Additionally, the geometry is mildly singular in the center of the star. Here, the authors present regular coordinates for the entirety of the frozen star. Each zero in the metric is replaced with a small, dimensionless parameter ε; in both &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;g&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$-g_{tt}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and &lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;g&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;r&lt;/mi&gt;\u0000 &lt;mi&gt;r&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;annotation&gt;$g^{rr}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; thus maintaining maximally negative radial pressure. The authors also regularize the geometry, energy density and pressure in the center of the star in a smooth way. The frozen star solution presented here is a completely regular solution of Einstein's equations whose compactness is arbitrarily close to that of a Schwarzschild BH. It obeys the null energy condition, the universally agreed-upon energy condition, and it is free of any known pathology. As far as it is known, this is the first solution that obeys all of these constraints and, in addition, as will be shown in a future publication, can mimic all of the thermodynamic properties of a standard BH. Our initial analysis uses Schwarzschild-","PeriodicalId":55150,"journal":{"name":"Fortschritte Der Physik-Progress of Physics","volume":"72 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/prop.202300188","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135548079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}