Cosmological dynamics in $R^2$ gravity with logarithmic trace term - INSPIRE

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Cosmological dynamics in $R^2$ gravity with logarithmic trace term

Emilio Elizalde
(
- ICE, Bellaterra
)
,
Nisha Godani
(
- GLA U., Mathura
)
,
Gauranga C. Samanta
(
- Fakir Mohan U., Balasore
)

Jul 9, 2019

27 pages

Published in:

Phys.Dark Univ. 30 (2020) 100618

Published: Dec, 2020

e-Print:

1907.05223 [physics.gen-ph]

DOI:

10.1016/j.dark.2020.100618

View in:

ADS Abstract Service

reference search22 citations

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Abstract: (Elsevier)

A novel function for modified gravity is proposed, f(R,T)=R+λR2+2βln(T) , with constants λ and β , scalar curvature R , and the trace of stress energy tensor T , satisfying T=ρ−3p>0 . Subsequently, two equations of state (EoS) parameters, namely ω and a parametric form of the Hubble parameter H , are employed in order to study the accelerated expansion and initial cosmological bounce of the corresponding universe. Hubble telescope experimental data for redshift z within the range 0.07≤z≤2.34 are used to compare the theoretical and observational values of the Hubble parameter. Moreover, it is observed that all the energy conditions are fulfilled within a neighborhood of the bouncing point t=0 , what shows that the necessary condition for violation of the null energy condition, within a neighborhood of the bouncing point in general relativity, could be avoided by modifying the theory in a reasonable way. Furthermore, a large amount of negative pressure is found, which helps to understand the late time accelerated expansion phase of the universe.

Note:

27 pages and 30 figures, accepted in Physics of the Dark Universe

f (R,T) gravity
Accelerated expansion
Energy condition
Cosmological bounce
f(R,T) gravity
[formula omitted] gravity
expansion: acceleration
null-energy condition: violation
tensor: energy-momentum
gravitation: model

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