TY - JOUR

T1 - The generalized second law of thermodynamics for the interacting in f(T) gravity

AU - Herrera, Ramón

N1 - Funding Information:
Acknowledgements This work was supported by COMISION NA-CIONAL DE CIENCIAS Y TECNOLOGIA through FONDECYT Grant No. 1130628 and by DI-PUCV Grant 123724.

PY - 2014/3

Y1 - 2014/3

N2 - We study the validity of the generalized second law (GSL) of gravitational thermodynamics in a non-flat FRW universe containing the interacting in f(T) gravity. We consider that the boundary of the universe to be confined by the dynamical apparent horizon in FRW universe. In general, we discuss the effective equation of state, deceleration parameter and GLS in this framewok. Also, we find that the interacting-term Q modifies these quantities and in particular, the evolution of the total entropy, results in an increases on the GLS of thermodynamic, by a factor 4πR3A Q/3. By using a viable f(T) gravity with an exponential dependence on the torsion, we develop a model where the interaction term is related to the total energy density of matter. Here, we find that a crossing of phantom divide line is possible for the interacting-f(T) model.

AB - We study the validity of the generalized second law (GSL) of gravitational thermodynamics in a non-flat FRW universe containing the interacting in f(T) gravity. We consider that the boundary of the universe to be confined by the dynamical apparent horizon in FRW universe. In general, we discuss the effective equation of state, deceleration parameter and GLS in this framewok. Also, we find that the interacting-term Q modifies these quantities and in particular, the evolution of the total entropy, results in an increases on the GLS of thermodynamic, by a factor 4πR3A Q/3. By using a viable f(T) gravity with an exponential dependence on the torsion, we develop a model where the interaction term is related to the total energy density of matter. Here, we find that a crossing of phantom divide line is possible for the interacting-f(T) model.

KW - The generalized second law (GSL) of gravitational thermodynamics

KW - Universe

UR - http://www.scopus.com/inward/record.url?scp=84896726846&partnerID=8YFLogxK

U2 - 10.1007/s10509-013-1747-0

DO - 10.1007/s10509-013-1747-0

M3 - Article

AN - SCOPUS:84896726846

SN - 0004-640X

VL - 350

SP - 393

EP - 399

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

IS - 1

ER -