Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity

Kamenshchik, Alexander Yu.; Pozdeeva, Ekaterina; Starobinsky, Alexei A.; Tronconi, Alessandro; Vardanyan, Tereza; Venturi, G.; Vernov, S. Yu.

doi:10.1103/physrevd.98.124028

Cited by 31 publications

(21 citation statements)

References 67 publications

(73 reference statements)

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“…There are as well two-time direction models proposed for the solution of the Universe's low initial entropy value, see [81][82][83][84][85][86][87][88][89][90] and more sophisticated two-times direction models of [95][96][97], which structure, nevertheless, is quite different from proposed here. The idea of negative energy/anti-gravity regions in some type of an extended solution of Einstein equation also have been considered in the literature, see for example [8][9][10][98][99][100]. In general, of course, there are some similarities and differences of these approaches with the formalism proposed here, it will be interesting to analyze the intersection points of the formalisms.…”

Section: Summary and Discussionmentioning

confidence: 99%

CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold

Bondarenko

2021

Eur. Phys. J. C

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The problem of the cosmological constant is considered in the formalism of an extended space-time consisting of the extended classical solution of Einstein equations. The different regions of the extended manifold are proposed to be related by the charge, parity, time and mass (CPTM) reversal symmetry applied with respect to the metric fields of the manifolds. There are interactions between the points of the extended manifold provided by scalar fields present separately in the different patches of the extended solution. The value of the constant is obtained equal to zero at the classical level due the mutual contribution of the fields in the vacuum energy, it’s non-zero value is due the quantum interactions between the fields. There are few possible scenario for the actions of the fields are discussed. Each from the obtained variants is similar to the closed time path approach of non-equilibrium condensed matter physics and among these possibilities for the closed paths, there is a variant of the action equivalent to the formalism of Keldysh. Accordingly, we consider and shortly discuss the application of the proposed formalism to the problem of smallness of the cosmological constant and singularities problem.

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Section: Summary and Discussionmentioning

confidence: 99%

CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold

Bondarenko

2021

Eur. Phys. J. C

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“…Harrison [ 25 ] was the first to examine a solution to the Einstein equations of the particular form, which was determined by the hyperbolic symmetry and it has since been the topic of investigation in several contexts [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ]. Herrera et al [ 35 ] have done a detailed investigation on static fluid distributions with hyperbolical symmetry in the framework of GR.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

Yousaf

Bhatti

Khlopov

et al. 2022

Entropy

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This paper is devoted to understanding a few characteristics of static irrotational matter content that assumes hyperbolical symmetry. For this purpose, we use metric f(R) gravity to carry out our analysis. It is noticed that the matter distribution cannot fill the region close to the center of symmetry, thereby implying the existence of an empty core. Moreover, the evaluation of the effective energy density reveals that it is inevitably negative, which could have utmost relevance in understanding various quantum field events. To derive the structure scalars, we perform the orthogonal splitting of the Riemann tensor in this modified gravity. Few relationships among matter variables and both Tolman and Misner Sharp are determined. Through two generating functions, some hyperbolically symmetric cosmological models, as well as their physical interpretations, are studied. To delve deeply into the role of f(R) terms, the model of the less-complex relativistic system of Einstein gravity is presented.

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“…The above Killing vectors ( 3 ) define the hyperbolic symmetry. Solutions to the Einstein equations endowed with this type of symmetry have been the subject of research in different contexts (see [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 ] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes

Herrera

Prisco

Ospino

2021

Entropy

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We study fluid distributions endowed with hyperbolic symmetry, which share many common features with Lemaitre–Tolman–Bondi (LTB) solutions (e.g., they are geodesic, shearing, and nonconformally flat, and the energy density is inhomogeneous). As such, they may be considered as hyperbolic symmetric versions of LTB, with spherical symmetry replaced by hyperbolic symmetry. We start by considering pure dust models, and afterwards, we extend our analysis to dissipative models with anisotropic pressure. In the former case, the complexity factor is necessarily nonvanishing, whereas in the latter cases, models with a vanishing complexity factor are found. The remarkable fact is that all solutions satisfying the vanishing complexity factor condition are necessarily nondissipative and satisfy the stiff equation of state.

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Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity

Cited by 31 publications

References 67 publications

CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold

CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

Hyperbolically Symmetric Versions of Lemaitre–Tolman–Bondi Spacetimes

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