{"title":"Bianchi type IX cosmological model with perfect fluid in ({varvec{f}}({varvec{R}},{varvec{T}})) theory of gravity","authors":"M. R. Ugale, S. B. Deshmukh","doi":"10.1007/s10714-023-03103-w","DOIUrl":"10.1007/s10714-023-03103-w","url":null,"abstract":"<div><p>In this work, we have presented axially symmetric Bianchi type IX cosmological model for perfect fluid with dark energy as a cosmological constant Λ within the frame of <span>(f(R,T))</span> gravity theory. Exact solution of the field equations has been accessed by selecting the functional form <span>({fleft(R,Tright)=f}_{1}left(Rright)+{f}_{2}(T),)</span> and by assuming a power law relation between the metric potentials. Several physical and dynamical behaviours of the model are minutely discussed.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5049378","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}
Amir Babak Aazami, Miguel Ángel Javaloyes, Marcus C. Werner
{"title":"Finsler pp-waves and the Penrose limit","authors":"Amir Babak Aazami, Miguel Ángel Javaloyes, Marcus C. Werner","doi":"10.1007/s10714-023-03101-y","DOIUrl":"10.1007/s10714-023-03101-y","url":null,"abstract":"<div><p>We extend the notion of a Lorentzian pp-wave to that of Finsler spacetimes by providing a coordinate-independent definition of a Finsler pp-wave with respect to the Chern connection; our definition also includes the special case of a plane wave. This treatment introduces suitable lightlike coordinates, in analogy with the Lorentzian case, and utilizes the anisotropic calculus recently developed by one of the authors. We then extend Penrose’s “plane wave limit” to the setting of Finsler spacetimes. New examples of such Finsler pp-waves are also presented.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03101-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5011047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 space-time calculus based on symmetric 2-spinors","authors":"Steffen Aksteiner, Thomas Bäckdahl","doi":"10.1007/s10714-023-03088-6","DOIUrl":"10.1007/s10714-023-03088-6","url":null,"abstract":"<div><p>In this paper we present a space-time calculus for symmetric spinors, including a product with a number of index contractions followed by symmetrization. As all operations stay within the class of symmetric spinors, no involved index manipulations are needed. In fact spinor indices are not needed in the formalism. It is also general because any covariant tensor expression in a 4-dimensional Lorentzian spacetime can be translated to this formalism. The computer algebra implementation <i>SymSpin</i> as part of <i>xAct</i> for <i>Mathematica</i> is also presented.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03088-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4694805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
Lissa de Souza Campos, Claudio Dappiaggi, Luca Sinibaldi
{"title":"Hidden freedom in the mode expansion on static spacetimes","authors":"Lissa de Souza Campos, Claudio Dappiaggi, Luca Sinibaldi","doi":"10.1007/s10714-023-03099-3","DOIUrl":"10.1007/s10714-023-03099-3","url":null,"abstract":"<div><p>We review the construction of ground states focusing on a real scalar field whose dynamics is ruled by the Klein–Gordon equation on a large class of static spacetimes. As in the analysis of the classical equations of motion, when enough isometries are present, via a mode expansion the construction of two-point correlation functions boils down to solving a second order, ordinary differential equation on an interval of the real line. Using the language of Sturm–Liouville theory, most compelling is the scenario when one endpoint of such interval is classified as a limit circle, as it often happens when one is working on globally hyperbolic spacetimes with a timelike boundary. In this case, beyond initial data, one needs to specify a boundary condition both to have a well-defined classical dynamics and to select a corresponding ground state. Here, we take into account boundary conditions of Robin type by using well-known results from Sturm–Liouville theory, but we go beyond the existing literature by exploring an unnoticed freedom that emerges from the intrinsic arbitrariness of secondary solutions at a limit circle endpoint. Accordingly, we show that infinitely many one-parameter families of sensible dynamics are admissible. In other words, we emphasize that physical constraints guaranteeing the construction of ground states do not, in general, fix one such state unambiguously. In addition, we provide, in full detail, an example on <span>((1 + 1))</span>-half Minkowski spacetime to spell out the rationale in a specific scenario where analytic formulae can be obtained.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03099-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4621921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"Late-time constraints on modified Gauss-Bonnet cosmology","authors":"Francesco Bajardi, Rocco D’Agostino","doi":"10.1007/s10714-023-03092-w","DOIUrl":"10.1007/s10714-023-03092-w","url":null,"abstract":"<div><p>In this paper, we consider a gravitational action containing a combination of the Ricci scalar, <i>R</i>, and the topological Gauss-Bonnet term, <i>G</i>. Specifically, we study the cosmological features of a particular class of modified gravity theories selected by symmetry considerations, namely the <span>(f(R,G)= R^n G^{1-n})</span> model. In the context of a spatially flat, homogeneous and isotropic background, we show that the currently observed acceleration of the Universe can be addressed through geometry, hence avoiding <i>de facto</i> the shortcomings of the cosmological constant. We thus present a strategy to numerically solve the Friedmann equations in presence of pressureless matter and obtain the redshift behavior of the Hubble expansion rate. Then, to check the viability of the model, we place constraints on the free parameters of the theory by means of a Bayesian Monte Carlo method applied to late-time cosmic observations. Our results show that the <i>f</i>(<i>R</i>, <i>G</i>) model is capable of mimicking the low-redshift behavior of the standard <span>(Lambda )</span>CDM model. Finally, we investigate the energy conditions and show that, under suitable choices for the values of the cosmographic parameters, they are all violated when considering the mean value of <i>n</i> obtained from our analysis, as occurs in the case of a dark fluid.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4875956","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 Big Bang nucleosynthesis abundances of the light elements using improved thermonuclear reaction rates","authors":"Chen Wu","doi":"10.1007/s10714-023-03096-6","DOIUrl":"10.1007/s10714-023-03096-6","url":null,"abstract":"<div><p>Big Bang nucleosynthesis (BBN) is an important stage of a homogeneous and isotropic expanding universe. The results of calculation of the synthesis of light elements during this epoch can then be compared with the abundances of the light elements. The theoretical calculation of the BBN model depends on the initial conditions of the early universe and reaction cross sections measured by the nuclear physics experiment. Recently, an update of the Nuclear Astrophysics Compilation of REactions database is presented. This improved compilation comprises thermonuclear reaction rates for 34 two-body reactions on light nuclides (fifteen are particle transfer reactions and nineteen are radiative capture reactions). In this work, we calculate the BBN abundances by using these updated thermonuclear reaction rates in the framework of the code <span>AlterBBN</span>. Our results suggest that the new numerical result of the primordial Lithium abundance is 7.1% larger than the previous calculation.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03096-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4548065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"Past-directed scalar field gradients and scalar-tensor thermodynamics","authors":"Andrea Giusti, Serena Giardino, Valerio Faraoni","doi":"10.1007/s10714-023-03095-7","DOIUrl":"10.1007/s10714-023-03095-7","url":null,"abstract":"<div><p>We refine and slightly enlarge the recently proposed first-order thermodynamics of scalar-tensor gravity to include gravitational scalar fields with timelike and past-directed gradients. The implications and subtleties arising in this situation are discussed and an exact cosmological solution of scalar-tensor theory in first-order thermodynamics is revisited in light of these results.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03095-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4394414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"New agegraphic dark energy in Brans–Dicke theory with sign changeable interaction for flat universe","authors":"Pinki, Pankaj Kumar","doi":"10.1007/s10714-023-03097-5","DOIUrl":"10.1007/s10714-023-03097-5","url":null,"abstract":"<div><p>In the present study, we discuss a cosmological model considering interaction between new agegraphic dark energy and dark matter with sign changeable interaction term within the framework of Brans–Dicke theory of gravity for a flat universe. We assume the well motivated logarithmic form of Brans–Dicke scalar field in terms of the scale factor to find the cosmological parameters such as equation of state parameter, deceleration parameter and plot graphs to discuss their evolution against redshift parameter <i>z</i>. It is shown that the equation of state parameter may behave like cosmological constant for suitable values of parameters but it shows quintessence like behavior for different values of model parameters in future. The deceleration parameter shows observationally verified recent phase transition and accelerated expansion of the universe in future. The physical significance of well-known cosmological planes i.e. <span>(w-w^{prime })</span> and statefinder diagnostic is also explored for our model. The statefinder diagnostic shows that new agegraphic dark energy behaves like chaplygin gas in early time and behaves like quintessence in future. Moreover, for suitable values of parameters it behaves like cosmological constant at present. The analysis of <span>(w-w^{prime })</span> plane shows that our model shows freezing region and reaches in the vicinity of <span>(Lambda )</span>CDM model in future. Further, we apply thermodynamic analysis and found that the generalized second law of thermodynamics is satisfied with in the model.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03097-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4346794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"Wormhole solution in modified teleparallel-Rastall gravity and energy conditions","authors":"N. Nazavari, K. Saaidi, A. Mohammadi","doi":"10.1007/s10714-023-03093-9","DOIUrl":"10.1007/s10714-023-03093-9","url":null,"abstract":"<div><p>The possibility of static and spherically symmetric traversable wormhole solution in modified teleparallel Rastall gravity in a non-diagonal tetrad is investigated. Rastall assumption modifies the field equations and energy-momentum conservation law. These modifications lead to different exact asymptotically flat traversable wormhole solutions. By imposing different constraints on modified energy-momentum conservation law, different exact solutions are found and the obtained results for teleparallel Rastall gravity, with specific choices of <i>f</i>(<i>T</i>), are studied. It is shown that the Rastall parameters have a key role in these model and in all of those exact traversable wormhole solutions the null energy condition and weak energy condition of matter or energy which has surrounded the wormhole are valid at the throat of the wormhole and through the space time as well.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 3","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5041821","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":"Wormhole Time Machines and Multiple Histories","authors":"Barak Shoshany, Jared Wogan","doi":"10.1007/s10714-023-03094-8","DOIUrl":"10.1007/s10714-023-03094-8","url":null,"abstract":"<div><p>In a previous paper, we showed that a class of time travel paradoxes which cannot be resolved using Novikov’s self-consistency conjecture can be resolved by assuming the existence of multiple histories or parallel timelines. However, our proof was obtained using a simplistic toy model, which was formulated using contrived laws of physics. In the present paper we define and analyze a new model of time travel paradoxes, which is more compatible with known physics. This model consists of a traversable Morris-Thorne wormhole time machine in 3+1 spacetime dimensions. We define the spacetime topology and geometry of the model, calculate the geodesics of objects passing through the time machine, and prove that this model inevitably leads to paradoxes which cannot be resolved using Novikov’s conjecture, but can be resolved using multiple histories. An open-source simulation of our new model using Mathematica is available for download on GitHub. We also provide additional arguments against the Novikov self-consistency conjecture by considering two new paradoxes, the switch paradox and the password paradox, for which assuming self-consistency inevitably leads to counter-intuitive consequences. Our new results provide more substantial support to our claim that if time travel is possible, then multiple histories or parallel timelines must also be possible.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"55 2","pages":""},"PeriodicalIF":2.8,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-023-03094-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4925668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}