Cosmological applications of 
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 gravity with dynamical curvature and torsion

Saridakis, Emmanuel N.; Myrzakul, Shynaray; Myrzakulov, Kairat; Yerzhanov, Koblandy

doi:10.1103/physrevd.102.023525

Cited by 36 publications

(27 citation statements)

References 44 publications

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“…In recent years, several entropy formalisms have been used in proposing HDE models, such as: Tsallis [48], Renyi [49], Sharma-Mittal [50] and Barrow [51]. These new models are based in generalized entropies, instead of the Bekenstein-Hawking entropy [21,25], applied to a cosmological context.…”

Section: Introductionmentioning

confidence: 99%

Bayesian comparison of interacting modified holographic Ricci dark energy scenarios

et al. 2021

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We perform a Bayesian model selection analysis for interacting scenarios of dark matter and modified holographic Ricci dark energy (MHRDE) with linear interacting terms. We use a combination of some of the latest cosmological data such as type Ia supernovae, cosmic chronometers, the local value of the Hubble constant, baryon acoustic oscillations measurements and cosmic microwave background through the angular scale of the sound horizon at last scattering. We find moderate/strong evidence against all the MHRDE interacting scenarios studied with respect to $$\Lambda $$ Λ CDM when the full joint analysis is considered.

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Section: Introductionmentioning

confidence: 99%

Bayesian comparison of interacting modified holographic Ricci dark energy scenarios

et al. 2021

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“…For some cosmological implications of the MG-I model we refer the reader to [29,30], while observational constraints on the theory were studied in [31]. We will come back to these points in Section 10.…”

Section: Mg-i and Mamg-imentioning

confidence: 99%

“…where Q is the nonmetricity scalar. The variation of the action (30) with respect to the metric and the affine connection gives the following set of field equations:…”

Section: Metric-affine F(q) Theorymentioning

confidence: 99%

Metric-Affine Myrzakulov Gravity Theories

Myrzakulov

Ravera

2021

Symmetry

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In this paper, we review the so-called Myrzakulov Gravity models (MG-N, with N=I,II,…,VIII) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lemaître–Robertson–Walker background to study cosmological aspects and applications. Historical motivation for this research is thoroughly reviewed and specific physical motivations are provided for the aforementioned family of alternative theories of gravity.

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“…So, already taking into account the presence of the functions u, v -describing the connection between the curvature scalar and the torsion scalar, which should help to give in the limit, respectively, the general theory of relativity or teleparallelgravity [12][13][14][15] is already so difficult to compute that researchers often try to describe the solution without taking into account these functions [16]. As a first approximation, it is possible to take into account these components as functions of the scale factor and its first time derivative.…”

Section: Introductionmentioning

confidence: 99%

Exact solution of the fiels equation of the generalized cosmological F(R,T) model

Yerzhanov

Abilmazhinova

2021

phst

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We considered cosmological model within the framework of the generalized F(R,T) gravity in flat FLRW metric. Earlier, an exponential solution was shown for the generalized case, which describes the inflationary stage of the evolution of the Universe. In this paper, it is shown that for the particular case of the Starobinsky model, the generalized model has, among other things, a power-law solution that describes the dust-like stage and the stage of radiation dominance. It should be noted that this solution was obtained by the analytical method as a solution to the Euler-Lagrange equation for this model, taking into account the functions u, v -describing the relationship between the curvature scalar and the torsion scalar, and depending not only on the first, but also on the second time derivative of the scale factor. This solution is of interest, since it shows not only that this model has a solution, but also that this solution can describe the modern observable Universe for more complex forms u, v than described earlier. This solution allows other related cosmological parameters to be obtained accordingly. The paper presents the parameter for the equation of state, which describes the stage of the evolution of the Universe.

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Cosmological applications of F(R,T) gravity with dynamical curvature and torsion

Cited by 36 publications

References 44 publications

Bayesian comparison of interacting modified holographic Ricci dark energy scenarios

Bayesian comparison of interacting modified holographic Ricci dark energy scenarios

Metric-Affine Myrzakulov Gravity Theories

Exact solution of the fiels equation of the generalized cosmological F(R,T) model

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