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Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

Using a BRST treatment, we show that the equivalence of General Relativity and Shape Dynamics can be extended to a theory that respects the BRST-symmetries of General Relativity as well as the ones of an extended version of Shape Dynamics.…

General Relativity and Quantum Cosmology · Physics 2012-06-22 Henrique Gomes , Tim Koslowski

The purpose of this contribution is to elucidate some of the properties of Shape Dynamics (SD) and is largely based on a recent longer article. We shall point out some of the key differences between SD and related theoretical constructions,…

General Relativity and Quantum Cosmology · Physics 2013-03-04 Henrique Gomes , Tim Koslowski

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric space-times with a non-trivial scalar field. In particular, we study solutions…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Guillem Domènech , Atsushi Naruko , Misao Sasaki , Christof Wetterich

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

We consider two-dimensional dilaton-gravity theories with a generic exponential potential for the dilaton, and obtain the most general black hole solutions in the Schwarzshild form. We discuss their geometrical and thermodynamical…

High Energy Physics - Theory · Physics 2009-10-28 S. Mignemi

The issue of the transformations of units is treated, mainly, in a geometrical context. It is shown that Weyl-integrable geometry is a consistent framework for the formulation of the gravitational laws since the basic law on which this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

Integration of Kirillov form on a coadjoint orbit of Virasoro algebra yields the coupling of a background field to Polyakov's two dimensional quantum gravity. This background field is used to be called the diffeomorphism field. Einstein's…

Mathematical Physics · Physics 2019-07-17 Delalcan Kilic

Colliding black holes are systems of profound interest in both gravitational wave astronomy and in gravitation theory, and a variety of methods have been developed for modeling their dynamics in detail. The features of these dynamics are…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Robert Owen , Alex S. Fox , John A. Freiberg , Terrence Pierre Jacques

In three spacetime dimensions, general relativity becomes a topological field theory, whose dynamics can be largely described holographically by a two-dimensional conformal field theory at the ``boundary'' of spacetime. I review what is…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We analyse the dynamical properties of disformally transformed theories of gravity. We show that disformal transformation typically introduces novel degrees of freedom, equivalent to the mimetic dark matter, which possesses a Weyl-invariant…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Pavel Jiroušek , Keigo Shimada , Alexander Vikman , Masahide Yamaguchi

We analyze the classical stability of Schwarzschild black hole in massive conformal gravity which was recently proposed for another massive gravity model. This model in the Jordan frame is conformally equivalent to the Einstein-Weyl gravity…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Yun Soo Myung

In a one parameter family of dilaton gravity theories which allow the coupling of the dilaton to gravity and to a U(1) gauge field to differ, we have found the existence of everywhere regular spacetimes describing black holes hiding…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Balbinot , A. Fabbri , L. Mazzacurati

General Relativity is usually formulated as a theory with gauge invariance under the diffeomorphism group, but there is a 'dilaton' formulation where it is in addition invariant under Weyl transformations, and a 'unimodular' formulation…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Steffen Gielen , Rodrigo de Leon Ardon , Roberto Percacci

We study Weyl conformal geometry as a general gauge theory of the Weyl group (of Poincar\'e and dilatations symmetries) in a manifestly Weyl gauge covariant formalism in which this geometry is automatically metric and physically relevant.…

High Energy Physics - Theory · Physics 2025-03-31 C. Condeescu , D. M. Ghilencea , A. Micu

A Weyl invariant extension of Einstein gravity is studied. It simply consists in the group averaging of Einstein's action under Weyl transformations. Contradicting cherished beliefs, a conformal anomaly is found in the trace of the…

High Energy Physics - Theory · Physics 2013-11-14 Enrique Alvarez , Mario Herrero-Valea

The application of the notion of `observable' from gauge theory to diffeomorphism-invariant theories -- most relevantly to general relativity -- has led to numerous conceptual and technical issues when interpreting classical theories with…

History and Philosophy of Physics · Physics 2026-05-22 Álvaro Mozota Frauca

General covariance is the cornerstone of Einstein's General Relativity (GR) and implies that any two metrics related by diffeomorphisms are physically equivalent. There are, however, many examples pointing to the fact that this strict…

High Energy Physics - Theory · Physics 2016-11-15 M. M. Sheikh-Jabbari

We establish that regular black holes can form from gravitational collapse. Our model builds on a recent construction that realized regular black holes as exact solutions to purely gravitational theories that incorporate an infinite tower…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia
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