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The BTZ black hole provides a tractable (2+1)-dimensional example for investigating string dynamics in curved spacetime. However, a systematic and robust analysis of the solution space of strings in the near-horizon region of BTZ black…

High Energy Physics - Theory · Physics 2026-05-04 Aritra Banerjee , Arkachur Bhattacharya , Sharang Rajesh Iyer , Ansh Mishra , Priyadarshini Pandit

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We investigate the connection between the BTZ black holes and the near-horizon geometry of higher-dimensional black holes. Under mild conditions, we show that (i) if a black hole has a global structure of the type of the non-extremal…

High Energy Physics - Theory · Physics 2016-08-25 Yuji Satoh

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

We explore $2+1$-dimensional scalar-tensor theories derived from well-defined dimensional regularizations of the Lovelock invariants. In the limit where an infinite series of corrections is included, we obtain theories that admit fully…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Pedro G. S. Fernandes

Aspects of superstring theory on deformed BTZ black holes, formed near $k$~NS5 branes by $p$~fundamental strings, and single-trace $T\bar T$ holography, are presented. The excitation energy of a singly wound long string plus its…

High Energy Physics - Theory · Physics 2024-02-09 Soumangsu Chakraborty , Amit Giveon , Akikazu Hashimoto

Spacetime singularities represent a fundamental challenge in gravitational physics. We present a mathematically consistent framework for signature-changing black holes based on the $(2+1)$-dimensional BTZ metric, where the signature…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Farzad Milani

Topologically massive gravity (TMG) in three dimensions provides an interesting toy model for constructing a quantum theory of gravity. Although it can be thought of as standing as a theory in its own right, it is also of interest to see…

High Energy Physics - Theory · Physics 2010-03-01 H. Lu , C. N. Pope

We investigate thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions, namely higher-dimensional charged black holes in which the electromagnetic sector exhibits the same properties with that of the usual…

High Energy Physics - Theory · Physics 2023-11-06 Ali Dehghani , Behnam Pourhassan , Soodeh Zarepour , Emmanuel N. Saridakis

Some thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole are studied to get the effective dimension of its corresponding statistical model. For this purpose, we make use of the geometrical approach to the…

High Energy Physics - Theory · Physics 2009-10-31 Rong-Gen Cai , Jin-Ho Cho

We introduce a new coupling between stress tensors of the CFTs living on the two boundaries of the BTZ black hole. Similar to the $T \bar{T}$-deformation, the system exhibits universal properties and is solvable. The resulting geometry is…

High Energy Physics - Theory · Physics 2020-08-10 Adam Bzowski

We extend our recent discussion of four-dimensional black holes bound to a two-brane to include a negative cosmological constant on the brane. We find that for large masses, the solutions are precisely BTZ black holes on the brane, and BTZ…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan , Gary T. Horowitz , Robert C. Myers

The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Chiranjeeb Singha , Sumanta Chakraborty , Naresh Dadhich

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first introduce the BTZ black hole, solution of Einstein's gravity in 2+1 dimensions, and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bieliavsky , S. Detournay , M. Rooman , Ph. Spindel

We study the properties of the space of thermodynamic equilibrium states of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the formalism of geometrothermodynamics to introduce in the space of equilibrium states a…

General Relativity and Quantum Cosmology · Physics 2009-01-21 Hernando Quevedo , Alberto Sanchez

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg

We construct and discuss solutions of SO(1,2) x SO(1,2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a…

High Energy Physics - Theory · Physics 2009-10-31 Teresia Mansson , Bo Sundborg

A simple algebraic global isometric embedding is presented for the nonrotating BTZ black hole and its counterpart of Euclidean signature. The image of the embedding, in Minkowski space of two extra dimensions, is the interection of two…

General Relativity and Quantum Cosmology · Physics 2011-07-08 Steven Willison

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo