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Three dimensional topologically massive gravity (TMG) with a negative cosmological constant -\ell^{-2} and positive Newton constant G admits an AdS_3 vacuum solution for any value of the graviton mass \mu. These are all known to be…

High Energy Physics - Theory · Physics 2009-04-02 Dionysios Anninos , Wei Li , Megha Padi , Wei Song , Andrew Strominger

A class of hybrid (topologically) massive off-shell supergravities coupled to an on-shell matter scalar multiplet was recently constructed. The auxiliary field in the off-shell multiplet is dynamical for generic values of the eight…

High Energy Physics - Theory · Physics 2011-04-13 Hong Lu , Yi Pang

In this paper, we draw a parallel between solutions of pure three-dimensional gravity with a negative cosmological constant and classical double copies in four dimensions. In the former case, topological solutions, such as the BTZ black…

High Energy Physics - Theory · Physics 2026-05-13 V. E. Didenko , N. K. Dosmanbetov

It is shown that on curved backgrounds, the Coulomb gauge Faddeev-Popov operator can have zero modes even in the abelian case. These zero modes cannot be eliminated by restricting the path integral over a certain region in the space of…

High Energy Physics - Theory · Physics 2014-11-20 Fabrizio Canfora , Alex Giacomini , Julio Oliva

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

We present exact dynamical and inhomogeneous solutions in three-dimensional AdS gravity with a conformally coupled scalar field. They contain stealth configurations of the scalar field overflying the BTZ spacetime and also solutions with a…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Luis Avilés , Hideki Maeda , Cristian Martinez

We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged…

General Relativity and Quantum Cosmology · Physics 2026-04-24 G. G. L. Nashed , Emmanuel N. Saridakis

All three-dimensional matter-free spacetimes with negative cosmological constant, compatible with cyclic symmetry are identified. The only cyclic solutions are the 2+1 (BTZ) black hole with SO(2) x R isometry, and the self-dual…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Cristián Martínez , Jorge Zanelli

In this paper we show that one can have asymptotically de Sitter (dS), anti-de Sitter (AdS) and flat solutions in Gauss-Bonnet gravity without any need to a cosmological constant term in field equations. First, we introduce static solutions…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

We present a detailed analysis of $AdS_3$ gravity, the BTZ black hole and the associated conformal field theories (CFTs). In particular we focus on the non-extreme six-dimensional string solution with background metric $AdS_3 \times S^3$…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Ilka Brunner , Ingo Gaida

We consider critical gravity in three dimensions; that is, the New Massive Gravity theory formulated about Anti-de Sitter (AdS) space with the specific value of the graviton mass for which it results dual to a two-dimensional conformal…

High Energy Physics - Theory · Physics 2014-05-08 Alan Garbarz , Gaston Giribet , Andrés Goya , Mauricio Leston

We solve Einstein's equations with negative cosmological constant in $2+1$ dimensions in the Hamiltonian formulation. The spacetime has the topology of $\Sigma \times \mathbf{R}$ where $\mathbf{R}$ corresponds to the time direction and…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

We study the general parity-preserving model of three-dimensional gravity with propagating torsion, with a focus on its nonlinear dynamics in the AdS sector. The model is shown to posses the black hole with torsion as a vacuum solution,…

General Relativity and Quantum Cosmology · Physics 2012-06-21 Milutin Blagojević , Branislav Cvetković

In this work we find the general static vacuum solution of three dimensional gravity with negative cosmological constant. Even though all solutions are locally diffeomorphic to pure $AdS_{3}$, solutions that differ globally from the latter…

High Energy Physics - Theory · Physics 2016-03-18 Nidal Haddad

We investigate stationary, rotationally symmetric solutions of a recently proposed three-dimensional theory of massive gravity. Along with BTZ black holes, we also obtain warped AdS_3 black holes, and (for a critical value of the…

High Energy Physics - Theory · Physics 2009-11-13 Gerard Clement

We study asymptotically AdS topological black hole solutions with k=0 (plane symmetric) in the Einstein gravity with Gauss-Bonnet term, the dilaton and a "cosmological constant" in various dimensions. We derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

Asymptotically warped AdS spacetimes in topologically massive gravity with negative cosmological constant are considered in the case of spacelike stretched warping, where black holes have been shown to exist. We provide a set of asymptotic…

High Energy Physics - Theory · Physics 2015-05-30 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

We investigate the thermodynamic behaviour of AdS quasitopological black hole solutions in the context of extended thermodynamic phase space, in which the cosmological constant induces a pressure with a conjugate volume. We find that the…

High Energy Physics - Theory · Physics 2015-08-06 Robie A. Hennigar , Wilson G. Brenna , Robert B. Mann

We construct higher-derivative gravity theories in three dimensions that admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order $n$ in the curvature. We show that these theories exhibit special…

High Energy Physics - Theory · Physics 2024-07-02 Mariano Chernicoff , Gaston Giribet , Javier Moreno , Julio Oliva , Raul Rojas , Cielo Ramirez de Arellano Torres
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