A theorem on higer-order derivative theories of gravity is proved. We find that the de Sitter/anti-de Sitter metric always a solution any generally covariant theory gravity. With this and general form entropy function for spacetimes, we show how to calculate spacetime in without knowing details modified metric. As an example, formula dS Lovelock obtained.

We examine the thermodynamics of a new class asymptotically AdS black holes with non-constant curvature event horizons in Gauss-Bonnet Lovelock gravity, cosmological constant acting as thermodynamic pressure. find that non-trivial on horizon can significantly affect their behaviour. observe novel triple points 6 dimensions between large and small uncharged thermal AdS. For charged we continuous...

We demonstrate that black holes in order $N\ensuremath{\ge}4$ Lovelock gravity can exhibit multicritical phase behavior. show an explicit example of a quadruple point $d=10$ fourth-order and quintuple $d=14$ sixth-order gravity. also multicriticality be realized for uncharged, nonrotating by highlighting new type between thermal radiation. discuss the methodology used make comparisons to other ...

Mat́ıas Aiello, 2, ∗ Rafael Ferraro, 2, † and Gastón Giribet 3, ‡ Departamento de F́ısica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina Instituto de Astronomı́a y F́ısica del Espacio, C.C. 67, Suc. 28, 1428 Buenos Aires, Argentina Departamento de F́ısica, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata,...

We show, using the tunneling method, that Lovelock black holes Hawking radiate with a perfect blackbody spectrum. This is a new result. Within the semiclassical (WKB) approximation the temperature of the spectrum is given by the semiclassical Hawking temperature. Beyond the semiclassical approximation the thermal nature of the spectrum does not change but the temperature undergoes some higher o...

The Lovelock gravity consists of the dimensionally extended Euler densities. The geometry and horizon structure of black hole solutions could be quite complicated in this gravity, however, we find that some thermodynamic quantities of the black holes like the mass, Hawking temperature and entropy, have simple forms expressed in terms of horizon radius. The case with black hole horizon being a R...

A bstract It was proved more than three decades ago, that the first order α ′ correction of string effective theory could be written as Gauss-Bonnet term, which is quadratic term Lovelock gravity. In cosmological background, with an appropriate field redefinition, we reorganize infinite corrections action into a finite expression for any specific dimension. This matches gravity exactly and thus...