Generalized second law of thermodynamics in f(T) gravity

2012/01/31 by K. Karami, K Karami, A Abdolmaleki +1 · 1 voice · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/1475-7516/2012/04/007

published as JCAP 04 (2012) 007 · 16 pages, 10 figures, accepted by JCAP 2012

arxiv created 2012/03/12 · openalex publication_date 2012/04/10 · arxiv updated 2012/04/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the validity of the generalized second law (GSL) of gravitational thermodynamics in the framework of f(T) modified teleparallel gravity. We consider a spatially flat FRW universe containing only the pressureless matter. The boundary of the universe is assumed to be enclosed by the Hubble horizon. For two viable f(T) models containing f(T)=T+μ₁(-T)ⁿ and f(T)=T-μ₂ T(1-e^β(T₀)/(T)), we first calculate the effective equation of state and deceleration parameters. Then, we investigate the null and strong energy conditions and conclude that a sudden future singularity appears in both models. Furthermore, using a cosmographic analysis we check the viability of two models. Finally, we examine the validity of the GSL and find that for both models it is satisfied from the early times to the present epoch. But in the future, the GSL is violated for the special ranges of the torsion scalar T.

Citations

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological Constant - the Weight of the Vacuum
• The generalized second law in phantom dominated universes in the presence of black holes
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• New general relativity
• Dynamics of dark energy
• Curvature Quintessence

Cited by

• Quintessence Dynamics of Generalized Holographic Ricci Dark Energy in f(T) Gravity: Stability, Phase-Space Attractor, and Statefinder Analysis
• Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity
• f(T,𝒯) gravity and cosmology
• Generalized Noether symmetry in f(T) gravity
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Thermodynamic analysis of modified teleparallel gravity involving higher-order torsion derivative terms
• ΛCDM model inf(T) gravity: reconstruction, thermodynamics and stability
• Thermodynamics of shearing massless scalar field spacetimes is inconsistent with the Weyl curvature hypothesis
• f(T)gravitational baryogenesis

Discussions

• In light of what's been said and to better understand the issue, I'm mentioning some paths in the opposite direction, i.e. paths that suggest do not a priori ruling out perpetual motion machines, as I [stackexchange, 0 points]

Related

• Generalized Second Law and Thermodynamical Aspects of f(Q,T) Gravity
• The generalized second law of thermodynamics in generalized gravity theories
• Thermodynamics in f(T) gravity with nonminimal coupling to matter
• Thermodynamics and cosmological reconstruction in f(T,B) gravity
• Thermodynamic properties of modified gravity theories