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- Title
Scalar–tensor representation to f(R,T)-brane with Gauss–Bonnet gravity.
- Authors
Lobão, A. S.; Rosa, João Luís; Bazeia, D.
- 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) + α G , where T is the trace of the stress–energy tensor, R is the Ricci scalar, and α 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 + β 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.
- Subjects
EINSTEIN-Gauss-Bonnet gravity; BRANES; EINSTEIN field equations
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, Vol 38, Issue 31, p1
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X23501713