scholarly journals Reconstruction of f(T) and f(R) gravity according to (m, n)-type holographic dark energy

2013 ◽  
Vol 91 (9) ◽  
pp. 703-708 ◽  
Author(s):  
M. Umar Farooq ◽  
Mubasher Jamil ◽  
Davood Momeni ◽  
Ratbay Myrzakulov
Keyword(s):  
Dark Energy ◽  
Solar System ◽  
Gravitational Constant ◽  
Holographic Dark Energy ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Torsion Scalar ◽  
Proposed Model ◽  
Gravity Theories

Motivated by earlier works (Wu and Zhu. Phys. Lett. B, 660, 293 (2008); Daouda et al. Eur. Phys. J. C, 72, 1893 (2012)), we extend them by considering a newly proposed model of (m, n)-type holographic dark energy in f(R) and f(T) gravity theories, where R and T represent Ricci scalar and torsion scalar respectively. Specifically, we reconstruct the two later gravity models and discuss their viability and cosmography. The obtained gravity models are free from ghosts, consistent with local solar system tests, and describe effective positive gravitational constant.

scholarly journals UNIVERSE WITH HOLOGRAPHIC DARK ENERGY

MOMENTO ◽  
2020 ◽  
pp. 1-10
Author(s):  
Carlos Rodriguez-Benites ◽  
Mauricio Cataldo ◽  
Marcial Vásquez-Arteaga
Keyword(s):  
Dark Energy ◽  
Dark Energy Model ◽  
Cold Dark Matter ◽  
Holographic Dark Energy ◽  
Cosmological Parameters ◽  
Holographic Dark Energy Model ◽  
Dark Sector ◽  
Algebraic Expressions ◽  
Proposed Model ◽  
Λcdm Model

In this work we explore a Holographic Dark Energy Model in a flat Friedmann-LemaÎtre-Robertson-Walker Universe, which contains baryons, radiation, cold dark matter and dark energy within the framework of General Relativity. Furthermore, we consider three types of phenomenological interactions in the dark sector. With the proposed model we obtained the algebraic expressions for the cosmological parameters of our interest: the deceleration and coincidence parameters. Likewise, we graphically compare the proposed model with the ΛCDM model.

scholarly journals Disformal Transformations in Modified Teleparallel Gravity

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 152 ◽  
Author(s):  
Alexey Golovnev ◽  
María José Guzmán
Keyword(s):  
General Relativity ◽  
Torsion Tensor ◽  
Teleparallel Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Boundary Term ◽  
Jordan Frame ◽  
Explicit Formulas ◽  
Torsion Scalar ◽  
Geometric Objects

In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main geometric objects in these theories such as torsion tensor, torsion vector and contortion. Most importantly, we consider the boundary term which distinguishes the torsion scalar from the Ricci scalar. With that we show for f ( T ) gravity that disformal transformations from the Jordan frame representation are unable to straightforwardly remove local Lorentz breaking terms that characterize it. However, we have shown that disformal transformations have interesting properties, which can be useful for future applications in scalar-torsion gravity models, among others.

F(G) gravity models based on the ordinary and entropy-corrected holographic dark energy models

2013 ◽  
Vol 91 (2) ◽  
pp. 134-139
Author(s):  
M.R. Setare ◽  
B. Malakolkalami ◽  
N. Mohammadipour
Keyword(s):  
Dark Energy ◽  
Modified Gravity ◽  
Holographic Dark Energy ◽  
Gravity Models ◽  
Energy Models ◽  
Friedmann Robertson Walker ◽  
Modified Gravity Models

The ordinary and entropy-corrected versions of the holographic dark energy models in the spatially flat Friedmann–Robertson–Walker universe are considered. Then the F(G) modified gravity models as a candidates of dark energy are reconstructed according to the ordinary and entropy-corrected versions of the holographic dark energy models. The EoS parameters corresponding to the F(G) gravity models are obtained. The validity phantom or quintessence models in this framework of the modified gravity are investigated.

Reconstructions of f(P) gravity from (m,n) type ordinary and entropy-corrected holographic and Pilgrim dark energy models

2021 ◽  
Author(s):  
Rahul Ghosh ◽  
Ujjal Debnath ◽  
Shuvendu Chakraborty
Keyword(s):  
Dark Energy ◽  
Power Law ◽  
Holographic Dark Energy ◽  
Gravity Models ◽  
Pilgrim Dark Energy ◽  
Energy Models ◽  
Ordinary Power ◽  
Age Of The Universe ◽  
The Universe ◽  
Modified Gravity Models

Modified gravity models are popular among cosmologists, as they can describe the cosmological evolution quite efficiently. Reconstruction of newly introduced [Formula: see text] gravity, with the help of ordinary, power-law entropy corrected and logarithmic entropy-corrected versions of Holographic dark energy (HDE) and Pilgrim dark energy (PDE) models have been studied in this work. For such reconstruction, we have considered the power-law scale factor [Formula: see text]. Further, the classical stabilities (the squared speed of sound method) of such reconstructions and their implications on the nature of the equation of state (EoS) parameters and deceleration parameter with respect to red-shift have also been examined. Finally, we have computed the age of the universe for reconstructed models.

scholarly journals Holographic dark energy with varying gravitational constant

2009 ◽  
Vol 679 (3) ◽  
pp. 172-176 ◽  
Author(s):  
Mubasher Jamil ◽  
Emmanuel N. Saridakis ◽  
M.R. Setare
Keyword(s):  
Dark Energy ◽  
Gravitational Constant ◽  
Holographic Dark Energy ◽  
Varying Gravitational Constant

scholarly journals RECONSTRUCTING f(R, T) GRAVITY FROM HOLOGRAPHIC DARK ENERGY

2012 ◽  
Vol 21 (03) ◽  
pp. 1250024 ◽  
Author(s):  
M. J. S. HOUNDJO ◽  
OLIVER F. PIATTELLA
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Dark Energy ◽  
Energy Momentum Tensor ◽  
Holographic Dark Energy ◽  
Momentum Tensor ◽  
Ricci Scalar ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Theories Of Gravity

We consider cosmological scenarios based on f(R, T) theories of gravity (R is the Ricci scalar and T is the trace of the energy–momentum tensor) and numerically reconstruct the function f(R, T) which is able to reproduce the same expansion history generated, in the standard General Relativity theory, by dark matter and holographic dark energy. We consider two special f(R, T) models: in the first instance, we investigate the modification R + 2f(T), i.e. the usual Einstein–Hilbert term plus a f(T) correction. In the second instance, we consider a f(R) + λT theory, i.e. a T correction to the renown f(R) theory of gravity.

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