65 research outputs found
Equivalence of modified gravity equation to the Clausius relation
We explicitly show that the equations of motion for modified gravity theories
of -gravity, the scalar-Gauss-Bonnet gravity, -gravity
and the non-local gravity are equivalent to the Clausius relation in
thermodynamics. In addition, we discuss the relation between the expression of
the entropy and the contribution from the modified gravity as well as the
matter to the definition of the energy flux (heat).Comment: 6 pages, no figure, several statements clarified, references adde
Inflationary universe from perfect fluid and F (R) gravity and its comparison with observational data
© 2014 American Physical Society. We investigate the descriptions for the observables of inflationary models, in particular, the spectral index of curvature perturbations, the tensor-to-scalar ratio, and the running of the spectral index, in the framework of perfect fluid models and F(R) gravity theories through the reconstruction methods. Furthermore, the perfect fluid and F(R) gravity descriptions of inflation are compared with the recent cosmological observations such as the Planck satellite and BICEP2 experiment. It is demonstrated with explicit examples that perfect fluid may lead to the inflationary universe consistent with the Planck data. It is also shown that several F(R) gravity models, especially, a power-law model gives the best fit values compatible with the spectral index and tensor-to-scalar ratio within the allowed ranges suggested by the Planck and BICEP2 results
Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
We investigate the future evolution of the dark energy universe in modified
gravities including gravity, string-inspired scalar-Gauss-Bonnet and
modified Gauss-Bonnet ones, and ideal fluid with the inhomogeneous equation of
state (EoS). Modified Friedmann-Robertson-Walker (FRW) dynamics for all these
theories may be presented in universal form by using the effective ideal fluid
with an inhomogeneous EoS without specifying its explicit form. We construct
several examples of the modified gravity which produces accelerating
cosmologies ending at the finite-time future singularity of all four known
types by applying the reconstruction program. Some scenarios to resolve the
finite-time future singularity are presented. Among these scenarios, the most
natural one is related with additional modification of the gravitational action
in the early universe. In addition, late-time cosmology in the non-minimal
Maxwell-Einstein theory is considered. We investigate the forms of the
non-minimal gravitational coupling which generates the finite-time future
singularities and the general conditions for this coupling in order that the
finite-time future singularities cannot emerge. Furthermore, it is shown that
the non-minimal gravitational coupling can remove the finite-time future
singularities or make the singularity stronger (or weaker) in modified gravity.Comment: 25 pages, no figure, title changed, accepted in JCA
On thermodynamics second law in the modified Gauss Bonnet gravity
The second law and the generalized second law of thermodynamics in cosmology
in the framework of the modified Gauss-Bonnet theory of gravity are
investigated. The conditions upon which these laws hold are derived and
discussed.Comment: 9pages, typos corrected, references adde
Conformal transformation in theories
It is well-known that theories are dynamically equivalent to a
particular class of scalar-tensor theories. In analogy to the extension
of the Einstein-Hilbert action of general relativity, theories are
generalizations of the action of teleparallel gravity. The field equations are
always second order, remarkably simpler than theories. It is interesting
to investigate whether theories have the similar conformal features
possessed in theories. It is shown, however, that theories are
not dynamically equivalent to teleparallel action plus a scalar field via
conformal transformation, there appears an additional scalar-torsion coupling
term. We discuss briefly what constraint of this coupling term may be put on
theories from observations of the solar system.Comment: 4 pages, Revision to be publishe
Inflation and late-time cosmic acceleration in non-minimal Maxwell- gravity and the generation of large-scale magnetic fields
We study inflation and late-time acceleration in the expansion of the
universe in non-minimal electromagnetism, in which the electromagnetic field
couples to the scalar curvature function. It is shown that power-law inflation
can be realized due to the non-minimal gravitational coupling of the
electromagnetic field, and that large-scale magnetic fields can be generated
due to the breaking of the conformal invariance of the electromagnetic field
through its non-minimal gravitational coupling. Furthermore, it is demonstrated
that both inflation and the late-time acceleration of the universe can be
realized in a modified Maxwell- gravity which is consistent with solar
system tests and cosmological bounds and free of instabilities. At small
curvature typical for current universe the standard Maxwell theory is
recovered. We also consider classically equivalent form of non-minimal
Maxwell- gravity, and propose the origin of the non-minimal gravitational
coupling function based on renormalization-group considerations.Comment: 20 pages, no figure, JCAP versio
Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
Modified f(R) gravity is one of the most promising candidates for dark
energy, and even for the unification of the whole cosmological evolution,
including the inflationary phase. Within this class of theories, the so-called
viable modified gravities represent realistic theories that are capable of
reproducing late-time acceleration, and satisfy strong constraints at local
scales, where General Relativity is recovered. The present manuscript deals
with the analysis of the cosmological evolution for some of these models, which
indicates that the evolution may enter into a phantom phase, but the behavior
may be asymptotically stable. Furthermore, the scalar-tensor equivalence of
f(R) gravity is considered, which provides useful information about the
possibility of the occurrence of a future singularity. The so-called Little Rip
and Pseudo-Rip are also studied in the framework of this class of modified
gravities.Comment: 20 pages. Extended version, new figures and additional analysis.
Version to be published in Class. Quant. Gra
Oscillations of the F(R) dark energy in the accelerating universe
Oscillations of the dark energy around the phantom divide line,
, both during the matter era and also in the de Sitter epoch
are investigated. The analysis during the de Sitter epoch is revisited by
expanding the modified equations of motion around the de Sitter solution. Then,
during the matter epoch, the time dependence of the dark energy perturbations
is discussed by using two different local expansions. For high values of the
red shift, the matter epoch is a stable point of the theory, giving the
possibility to expand the -functions in terms of the dark energy
perturbations. In the late-time matter era, the realistic case is considered
where dark energy tends to a constant. The results obtained are confirmed by
precise numerical computation on a specific model of exponential gravity. A
novel and very detailed discussion is provided on the critical points in the
matter era and on the relation of the oscillations with possible singularities.Comment: 23 pages, 11 figures, version to appear in EPJ
LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
Dark energy cosmology is considered in a modified Gauss-Bonnet model of
gravity with and without a scalar field. It is shown that these generalizations
of General Relativity endow it with a very rich cosmological structure: it may
naturally lead to an effective cosmological constant, quintessence or phantom
cosmic acceleration, with the possibility to describe the transition from a
decelerating to an accelerating phase explicitly. It is demonstrated here that
these modified GB and scalar-GB theories are perfectly viable as cosmological
models. They can describe the LambdaCDM cosmological era without any need for a
cosmological constant. Specific properties of these theories of gravity in
different particular cases, such as the de Sitter one, are studied.Comment: 14 page
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