The Van der Waals-like phase transition is observed in temperature–thermal entropy plane in spherically symmetric charged Gauss–Bonnet–AdS black hole background. In terms of AdS/CFT, the non-local observables such as holographic entanglement entropy, Wilson loop, and two point correlation function of very heavy operators in the field theory dual to spherically symmetric charged Gauss–Bonnet–AdS...

We study anti-de Sitter black holes and evaluate different thermodynamic quantities in the EinsteinGauss-Bonnet and the general R2 gravity theories. We examine the possibility of Hawking-Page type thermal phase transitions between AdS black hole and thermal anti-de Sitter space in such theories. In Einstein theory with a possible cosmological term, one observes a Hawking-Page phase transition o...

By including a Gauss-Bonnet interaction term into the brane-world effective action we give linear and non-linear treatments of the Einstein-Gauss-Bonnet gravity in warped spacetimes, where spacetime background can be described as a 3-brane embedded in an anti-de Sitter space of dimensions D ≥ 5 or as an intersection of higher dimensional branes with a four-dimensional brane intersection. Basica...

In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in n-dimensions. This family of solutions represents dynamic black holes and contains, as particular cases, not only the recently found Vaidya-Einstein-Gauss-Bonnet black hole, but also other ph...

Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present ...

In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in lower dimensional actions of various compactified string theories provide a natural passage between the classical and quantum realms of gravity. The Gauss-Bo...

We consider the theory of higher derivative gravity with non-factorizable RandallSundrum type space-time and obtain the metric solutions which characterize the p-brane world-volume as a curved or planar defect embedded in the higher dimensions. We consider the string inspired effective actions of the dilatonic Gauss-Bonnet type in the brane background and show its consistency with the RS brane-...

Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by evaluating the post-Newtonian metric for a distributional source. We find a mass dependent, 1/r correction to the Newtonian potential, and also deviations fro...

In the Randall-Sundrum (RS) brane-world model a singular delta-function source is matched by the second derivative of the warp factor. So one should take possible curvature corrections in the effective action of the RS models in a Gauss-Bonnet (GB) form. We present a linearized treatment of gravity in the RS brane-world with the Gauss-Bonnet modification to Einstein gravity. We give explicit ex...