Thermodynamics in Little Rip cosmology in the framework of a type of f(R,T) gravity

Houndjo, M. J. S.; Alvarenga, F. G.; Rodrigues, Manuel E.; Jardim, Deborah F.; Myrzakulov, Ratbay

doi:10.48550/arxiv.1207.1646

Cited by 9 publications

(14 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, in a general f (T ) theory this term never vanishes and is generally interpreted as a production of entropy [73]. Concerning our work, we could check the behaviour of this term according to the model under consideration.…”

Section: Studying the First Law According To λCdm Modelmentioning

confidence: 95%

LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability

Salako,

Rodrigues,

Kpadonou

et al. 2013

Preprint

Self Cite

View full text Add to dashboard Cite

We investigate some cosmological features of the ΛCDM model in the framework of the generalized teleparallel theory of gravity f (T ) where T denotes the torsion scalar. Its reconstruction is performed giving rise to an integration constant Q and other input parameters according to which we point out more analysis. Thereby, we show that for some values of this constant, the first and second laws of thermodynamics can be realized in the equilibrium description, for the universe with the temperature inside the horizon equal to that at the apparent horizon. Moreover, still within these suitable values of the constant, we show that the model may be stable using the de Sitter and Power-Law cosmological solutions.

show abstract

Section: Studying the First Law According To λCdm Modelmentioning

confidence: 95%

LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability

Salako,

Rodrigues,

Kpadonou

et al. 2013

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Furthermore, even in absence of a future singularity, a possibility allowed also for the case that w < −1 (see [192]), the bound may be violated, specially for the case of a "Little Rip" (see [193]), a stage of the universe when the expansion would be strong enough to break some binding systems such as Solar System. That scenario, absence of singular points, can be very possible for a lot of DE models, and also in modified gravity (see [149,194,195])…”

Section: E Big Bang Singularitymentioning

confidence: 97%

Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories

Cruz-Dombriz

Sáez-Gómez

2012

Entropy

343

254

View full text Add to dashboard Cite

Along this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann-Lemaître-Robertson-Walker metrics. The thermodynamical properties of fourth order gravity theories are also a subject of this investigation with special attention on local and global stability of paradigmatic f (R) models. In addition, we revise some attempts to extend the Cardy-Verlinde formula, including modified gravity, where a relation between entropy bounds is obtained. Moreover, a deep study on cosmological singularities, which appear as a real possibility for some kind of modified gravity theories, is performed, and the validity of the entropy bounds is studied.

show abstract

“…[89]. Until nowadays, the problems which have been explored alongside this alternative theory are the thermodynamics [90][91][92], the energy conditions [93], anisotropic cosmology [94,95], the cosmology where the portrayal uses a helper scalar field [96], reconstruction of some cosmological models [97], the wormhole solution [98,99], the scalar perturbations [100] and some other relevant aspects [81,[101][102][103]. Additionally, a more generalization of this theory has been suggested lately in Refs.…”

Section: Introductionmentioning

confidence: 99%

Exploring physical properties of compact stars in $f(R,T)-$gravity: An embedding approach

Singh¹,

Errehymy²,

Rahaman³

et al. 2020

Preprint

View full text Add to dashboard Cite

Solving field equations exactly in f (R, T ) gravity is one of the difficult task. To do so, many authors have adopted different methods such as assuming both the metric functions, an equation of state (EoS) and a metric function etc. However, such methods may not always lead to well-behaved solutions and thereby rejection of the solutions may happen after complete calculations. Indeed, very recent works on embedding class one methods suggested that the chances of arriving at the well behaved-solution is very high thereby inspired us to used it. In class one approach, we have to ansatz one of the metric potentials and the other can be obtain from the Karmarkar condition. In this paper, we are proposing new class one solution which is well-behaved in all physical points of view.We have analyzed the nature of the solution by tuning the f (R, T )−coupling parameter χ and found that the solution results into stiffer EoS for χ = −1 than χ = 1. This is because for lesser values of χ, velocity of sound is more, higher M max in M − R curve and the EoS parameter ω is larger. The solution satisfy the causality condition, energy conditions, stable and static under radial perturbations (static stability criterion) and in equilibrium (modified TOV-equation). The resulting M − R diagram from this solution is well fitted with observed values of few compact stars such as PSR J1614-2230, Vela X-1, Cen X-3 and SAX J1808.4-3658. Therefore, for different values of χ, we have predicted the corresponding radii and their respective moment of inertia from the M − I curve.

show abstract

Thermodynamics in Little Rip cosmology in the framework of a type of f(R,T) gravity

Cited by 9 publications

References 46 publications

LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability

LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability

Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories

Exploring physical properties of compact stars in $f(R,T)-$gravity: An embedding approach

Contact Info

Product

Resources

About