Scalar-tensor representation to $f(R,T)-$brane with Gauss-Bonnet gravity

Abstract

In this paper, we generalize the analysis of the $f(R,T)-$brane via the inclusion of a term proportional to the Gauss-Bonnet invariant. We consider an action of the form $F(R,G,T)=f(R,T)+\alpha G$, where $T$ is the trace of the stress-energy tensor, $R$ is the Ricci scalar, and $\alpha$ is a real parameter that controls the contribution of the Gauss-Bonnet invariant $G$. We introduce the first-order formalism to obtain solutions for the source field of the brane in the special case where $f(R,T)=R+\beta T$ and illustrate its procedure with an application to the sine-Gordon model. We also investigate the general case of the $f(R,T)-$brane via the use of the scalar-tensor formalism, where we also use the first-order formalism to obtain solutions. Finally, we investigate the linear stability of the brane under tensor perturbations of the the modified Einstein's field equations. Our results indicate that the Gauss-Bonnet term may induce qualitatively different behaviors of the quantities on the brane, provided that its contribution is large enough.

arXiv comment11 pages, 7 figures

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• An Alternative to Compactification
• f(R) Theories Of Gravity
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Modulus Stabilization with Bulk Fields
• Dark torsion as the cosmic speed-up
• Modeling the fifth dimension with scalars and gravity
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Universal Aspects of Gravity Localized on Thick Branes
• Gravitational Stability and Renormalization-Group Flow
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• The Cosmology of Modified Gauss-Bonnet Gravity
• Black Holes in Quasi-topological Gravity
• Dynamics of scalar perturbations in f(R,T) gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Einsteinian cubic gravity
• f(R)-Brane
• Friedmann-like universes with torsion
• Braneworld solutions for F(R) models with non-constant curvature
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Tensor perturbations of $f(R)$-branes
• Thick brane models in generalized theories of gravity
• Braneworld dynamics in Einstein-Gauss-Bonnet gravity
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Five-Dimensional f(R) Braneworld Models
• Impact of compactlike and asymmetric configurations of thick branes on the scalar-tensor representation of $f\left(R,T\right)$ gravity
• The Cosmology of Quadratic Torsionful Gravity
• K-field kinks in two-dimensional dilaton gravity
• How to build a compact brane
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Note on the Gauss-Bonnet braneworld scenario
• Dark matter from torsion in Friedmann cosmology
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Conformally Coupled Induced Gravity with Gradient Torsion
• Thick branes in higher-dimensional $f(R)$ gravity
• Multi-kink braneworld configurations in the scalar-tensor representation of $f(R,T)$ gravity
• Energy Conditions in Extended $f(R,G,T)$ Gravity