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General Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor…

High Energy Physics - Theory · Physics 2015-06-15 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

We point out that in the limit of large number of dimensions a wide class of non-extremal neutral black holes has a universal near horizon limit. The limiting geometry is the two-dimensional black hole of string theory with a…

High Energy Physics - Theory · Physics 2013-07-23 Roberto Emparan , Daniel Grumiller , Kentaro Tanabe

A method for taking the $D\to 2$ limit of D-dimensional general relativity is constructed, yielding a two-dimensional theory which couples gravitation to conserved stress-energy. We show how this theory is related to those obtained via an…

General Relativity and Quantum Cosmology · Physics 2010-04-30 R. B. Mann , S. F. Ross

We have examined a modified dilaton gravity whose action is separable into the kinetic and the cosmological terms for the sake of the quantization. The black hole solutions survive even in the quantized theory, but the ADM mass of the…

High Energy Physics - Theory · Physics 2016-09-06 Kazuo Ghoroku

A general dilaton gravity theory in 1+1 spacetime dimensions with a cosmological constant $\lambda$ and a new dimensionless parameter $\omega$, contains as special cases the constant curvature theory of Teitelboim and Jackiw, the theory…

General Relativity and Quantum Cosmology · Physics 2014-11-17 José P. S. Lemos , Paulo M. Sá

We study the property of matter in equilibrium with a static, spherically symmetric black hole in D-dimensional spacetime. It requires this kind of matter has an equation of state (\omega\equiv p_r/\rho=-1/(1+2kn), k,n\in \mathbb{N}), which…

High Energy Physics - Theory · Physics 2010-02-18 Chao Cao , Yi-Xin Chen , Jian-Long Li

Several approaches to quantum gravity (including the model of superplastic vacuum; Diakonov tetrads emerging as the bilinear combinations of the fermionis fields; $BF$-theories of gravity; and effective acoustic metric) suggest that in…

General Relativity and Quantum Cosmology · Physics 2023-01-18 G. E. Volovik

The extension of the general relativity theory to higher dimensions, so that the field equations for the metric remain of second order, is done through the Lovelock action. This action can also be interpreted as the dimensionally continued…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Anderson Ilha , Jose' P. S. Lemos

Dimensionally reduced spherically symmetric gravity and its generalization, generic 2-D dilaton gravity, provide ideal theoretical laboratories for the study of black hole quantum mechanics and thermodynamics. They are sufficiently simple…

General Relativity and Quantum Cosmology · Physics 2016-12-21 J. Gegenberg , G. Kunstatter

We review recent progress in taking the large dimension limit of Einstein's equations. Most of our analysis is classical in nature and concerns situations where there is a black hole horizon although we briefly discuss various extensions…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Christopher P. Herzog

We discuss 2D dilaton supergravity in the presence of boundaries. Generic ones lead to results different from black hole horizon boundaries. In particular, the respective numbers of physical degrees of freedom differ, thus generalizing the…

High Energy Physics - Theory · Physics 2016-11-15 L. Bergamin , D. Grumiller

We consider the $D\to 3$ limit of Gauss-Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Christopher Pollack

The quantum mechanics of black holes in generic 2-D dilaton gravity is considered. The Hamiltonian surface terms are derived for boundary conditions corresponding to an eternal black hole with slices on the interior ending on the horizon…

High Energy Physics - Theory · Physics 2009-10-30 A. Barvinsky , G. Kunstatter

Three dimensional black holes in a generalized dilaton gravity action theory are analysed. The theory is specified by two fields, the dilaton and the graviton, and two parameters, the cosmological constant and the Brans-Dicke parameter. It…

High Energy Physics - Theory · Physics 2016-09-06 Paulo M. Sa' , Antares Kleber , Jose' P. S. Lemos

We describe a large class of solutions in pure gravity, dilaton gravity and supergravity corresponding to extended higher-dimensional black holes with strong (non-linear) gravitational waves propagating along their worldvolume. For pure…

High Energy Physics - Theory · Physics 2011-04-29 Li-Ming Cao , Oleg Evnin , Nobuyoshi Ohta

The extreme limit of a class of D-dimensional black holes is revisited. In the static limit, it is shown that well defined extremal limiting procedure exists and it leads to new solutions of the type AdS2 times constant curvature symmetric…

High Energy Physics - Theory · Physics 2017-08-23 M. Caldarelli , L. Vanzo , S. Zerbini

We consider unitary and weakly coupled theories of gravity that extend Einstein gravity and reduce to it asymptotically at large distances. Our discussion is restricted to such theories that, similarly to Einstein gravity, contain black…

High Energy Physics - Theory · Physics 2014-11-20 Ram Brustein , A. J. M. Medved

We discuss the possibility of having gravity ``localized'' in dimension d in a system where gauge bosons propagate in dimension d+1. In such a circumstance - depending on the rate of falloff of the field strengths in d dimensions - one…

High Energy Physics - Theory · Physics 2009-10-31 Nemanja Kaloper , Eva Silverstein , Leonard Susskind

The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Anderson Ilha , Antares Kleber , Jose' P. S. Lemos

We consider the most general dilaton gravity theory in 1+1 dimensions. By suitably parametrizing the metric and scalar field we find a simple expression that relates the energy of a generic solution to the magnitude of the corresponding…

General Relativity and Quantum Cosmology · Physics 2016-08-24 J. Gegenberg , G. Kunstatter , D. Louis-Martinez
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