# Modified brane cosmologies with induced gravity, arbitrary matter content, and a Gauss-Bonnet term in the bulk

@article{Apostolopoulos2007ModifiedBC, title={Modified brane cosmologies with induced gravity, arbitrary matter content, and a Gauss-Bonnet term in the bulk}, author={Pantelis S. Apostolopoulos and Nikolaos Brouzakis and Nikolaos Tetradis and Eleftheria Tzavara}, journal={Physical Review D}, year={2007}, volume={76}, pages={084029} }

We extend the covariant analysis of the brane cosmological evolution in order to take into account, apart from a general matter content and an induced-gravity term on the brane, a Gauss-Bonnet term in the bulk. The gravitational effect of the bulk matter on the brane evolution can be described in terms of the total bulk mass as measured by a bulk observer at the location of the brane. This mass appears in the effective Friedmann equation through a term characterized as generalized dark…

## 23 Citations

### Effective cosmological equations of induced f(R) gravity

- Physics
- 2010

We expand the study of generalized brane cosmologies by allowing for an $f(\tilde{\cal R})$ gravity term on the brane, with $\tilde{\cal R}$ the curvature scalar derived from the induced metric. We…

### Brane f (R) gravity cosmologies

- Physics
- 2010

By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order f(R) brane gravity and study their cosmological solutions. We show that there…

### Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane

- Physics
- 2013

We analyze the background cosmology for an extension of the DGP gravity with Gauss-Bonnet term in the bulk and gravity on the brane. We investigate implications of this setup on the late-time cosmic…

### Cosmological equations and thermodynamics on apparent horizon in thick braneworld

- Physics
- 2010

We derive the generalized Friedmann equation governing the cosmological evolution inside the thick brane model in the presence of two curvature correction terms: a four-dimensional scalar curvature…

### Phantom-like effects in an asymmetric brane embedding with induced gravity and the Gauss–Bonnet term in the bulk

- Physics
- 2010

We construct an asymmetric braneworld embedding with induced gravity on the brane, where stringy effects are taken into account by the incorporation of the Gauss–Bonnet (GB) term into the bulk…

### Modified GBIG scenario as an alternative for dark energy

- Physics
- 2009

We construct a DGP-inspired braneworld model where induced gravity on the brane is modified in the spirit of f(R) gravity and stringy effects are taken into account by incorporation of the…

### Braneworld dynamics in Einstein-Gauss-Bonnet gravity

- Physics
- 2007

We discuss the cosmological evolution of a braneworld in five-dimensional Gauss-Bonnet gravity. Our discussion allows the fifth (bulk) dimension to be spacelike as well as timelike. The resulting…

### Universe acceleration in brane world models

- Physics
- 2014

We examine the cosmology induced on a brane moving in the background of a five-dimensional black hole, solution of the string effective action. The evolution, determined by the Israel junction…

### A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect

- Physics
- 2009

We construct a holographic dark energy model with a non-minimally coupled scalar field on the brane where Gauss-Bonnet and Induced Gravity effects are taken into account. This model provides a wide…

### Generalized Israel Junction Conditions for a Fourth-Order Brane World

- Mathematics
- 2008

We discuss a general fourth-order theory of gravity on the brane. In general, the formulation of the junction conditions (except for Euler characteristics such as Gauss-Bonnet term) leads to the…