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Modified Gravity with a Non-minimal Gravitational Coupling to Matter

Yousef Bisabr
(
- Shahid Rajaee U.
)

May, 2012

13 pages

Published in:

Phys.Rev.D 86 (2012) 044025

e-Print:

1205.0328 [gr-qc]

DOI:

10.1103/PhysRevD.86.044025

View in:

ADS Abstract Service

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Abstract: (arXiv)

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is an energy transfer between the two components. By solving the conservation equation, we argue that the matter system should gain energy in this interaction, as demanded by the second law of thermodynamics. In a cosmological setting, we show that although this kind of interaction may account for cosmic acceleration, this latter together with direction of the energy transfer constrain the coupling function.

Note:

13 Pages, Two figures, Accepted for publication in Physical Review D

04.50.Kd
95.36.+x
04.20.Cv
matter: coupling
scalar: Ricci
expansion: acceleration
tensor: energy-momentum
gravitation: model
conservation law
thermodynamics

References(35)

Figures(2)

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