A Cosmological Scenario from the Starobinsky Model within the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Formalism

Moraes, P. H. R. S.; Sahoo, P. K.; Ribeiro, G.; Correa, R. A. C.

doi:10.1155/2019/8574798

Cited by 21 publications

(7 citation statements)

References 78 publications

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“…[31], Moraes et al [32], Moraes and Sahoo [33], Ram and Chandel [34], Pradhan and Amirhashchi [35], Pradhan et al [36], and Santhi et al [37]. The relation (17) gives the exponential law when n = 0.…”

Section: Solution Of Field Equationsmentioning

confidence: 99%

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Gusu

Santhi

2021

Advances in High Energy Physics

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In this paper, we analyze anisotropic and homogeneous Bianchi type V spacetime in the presence of dark matter and holographic dark energy model components in the framework of general relativity and Lyra’s geometry. The solutions of differential equation fields have been obtained by considering two specific cases, namely, the expansion scalar θ in the model is proportional to the shear scalar σ and the average scale factor taken as hybrid expansion form. The solutions for field equations are obtained in general relativity and Lyra’s geometry. The energy density of dark matter in both natures was obtained and compared so that the energy density of dark matter in general relativity is slightly different from the energy density of dark matter in Lyra’s geometry. A similar behavior occurred in case of pressure and EoS parameter of holographic dark energy model in respective frameworks. Also, it is concluded that the physical parameters such as the average Hubble parameter, spatial volume, anisotropy parameter, expansion scalar, and shear scalar are the same in both frameworks. Moreover, it is observed that the gauge function β t is a decreasing function of cosmic time in Lyra’s geometry, and for late times, the gauge function β t converges to zero and Lyra’s geometry reduces to general relativity in all respects. Finally, we conclude that our models are a close resemblance to the Λ CDM cosmological model in late times and consistent with the recent observations of cosmological data.

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Section: Solution Of Field Equationsmentioning

confidence: 99%

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Gusu

Santhi

2021

Advances in High Energy Physics

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“…The Starobinsky gravity model as a special case of f (R) gravity was considered in astrophysics and cosmology (see, for example, [72][73][74], and literature cited therein). Also the relation of the Starobinsky model to modified gravity and supergravity is discussed in [75][76][77][78][79].…”

Section: The Exact and Approximate Solutions For Epl Inflation From Conformal Connection With F (R)-gravitymentioning

confidence: 99%

Exact and Slow-Roll Solutions for Exponential Power-Law Inflation Connected with Modified Gravity and Observational Constraints

Фомин

Chervon

2020

Universe

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We investigate the ability of the exponential power-law inflation to be a phenomenologically correct model of the early universe. We study General Relativity (GR) scalar cosmology equations in Ivanov–Salopek–Bond (or Hamilton–Jacobi like) representation where the Hubble parameter H is the function of a scalar field ϕ. Such approach admits calculation of the potential for given H(ϕ) and consequently reconstruction of f(R) gravity in parametric form. By this manner the Starobinsky potential and non-minimal Higgs potential (and consequently the corresponding f(R) gravity) were reconstructed using constraints on the model’s parameters. We also consider methods for generalising the obtained solutions to the case of chiral cosmological models and scalar-tensor gravity. Models based on the quadratic relationship between the Hubble parameter and the function of the non-minimal interaction of the scalar field and curvature are also considered. Comparison to observation (PLANCK 2018) data shows that all models under consideration give correct values for the scalar spectral index and tensor-to-scalar ratio under a wide range of exponential-power-law model’s parameters.

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“…Further, the null energy condition (NEC) is a basic requirement to find the second law of black hole thermodynamics [42]. The generalized ECs have been studied in extended theories of gravity [43] such as Brans-Dicke theory [44], f (R) gravity [45], f (G) gravity [46], f (G, T ) gravity [47] and f (R, T ) gravity [48,49,50].…”

Section: Energy Conditionsmentioning

confidence: 99%

Thermodynamical aspects of relativistic hydrodynamics in f(R,G) gravity

Shekh,

Arora,

Chirde

et al. 2019

Preprint

Self Cite

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Present investigation devoted to the dynamical study of Relativistic Hydrodynamics with some thermodynamical characteristics in f (R, G) gravity towards spatially homogeneous isotropic cosmological model filled with isotropic fluid. We govern the features of the derived cosmological model by considering the power-law inflation for the average scale factor. The temperature and entropy density of the proposed model are positive definite. We also discuss the energy conditions to our solutions. The strong energy condition violated, which indicates the accelerated expansion of the proposed model.

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A Cosmological Scenario from the Starobinsky Model within the f(R,T) Formalism

Cited by 21 publications

References 78 publications

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Analysis of Bianchi Type V Holographic Dark Energy Models in General Relativity and Lyra’s Geometry

Exact and Slow-Roll Solutions for Exponential Power-Law Inflation Connected with Modified Gravity and Observational Constraints

Thermodynamical aspects of relativistic hydrodynamics in f(R,G) gravity

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