The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in form a Gauss-Bonnet (GB) term D>4 dimensions, and topologically invariant 4D. Several ways have been proposed for regularizing D→4 limit non-trivial gravitational dynamics Motivated by importance AdS/CFT, we obtain exact static spherically symmetric nonsingular black hole 4D coupled nonlinear elec...

We review the topic of 4D Einstein-Gauss-Bonnet gravity, which has been subject considerable interest over past two years. Our begins with a general introduction to Lovelock's theorem, and Gauss-Bonnet terms in action for gravity. These areas are fundamental importance understanding modified theories inform our subsequent discussion recent attempts include effects term four space-time dimension...

Five dimensional geodesic equation is used to study the gravitational force acted on a test particle in the bulk of the Randall-Sundrum two-brane model. This force could be interpreted as the gravitational attraction from matters on the two branes and may cause the model to be unstable. By analogy with star models in astrophysics, a fluid RS model is proposed in which the bulk is filled with a ...

Using a modified expression for the electric potential in context of T-duality (Gaete and Nicolini, Phys. Lett. B, 2022) we obtain an exact charged solution within 4D Einstein-Gauss-Bonnet (4D EGB) theory gravity presence cosmological constant. We show that exists regularized EGB as well point out correspondence between black hole non-relativistic Horava--Lifshitz theory. The is regular free fr...