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The issue of defining the volume of black holes has significant implications for quantum gravity. Drawing on concepts from quantum theory and general relativity, several motivations for introducing discreteness in geometry can be proposed.…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Arkady Bolotin

We present nonuniform vacuum black strings in five and six spacetime dimensions. The conserved charges and the action of these solutions are computed by employing a quasilocal formalism. We find qualitative agreement of the physical…

High Energy Physics - Theory · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

Building on our previous work [1], where the Local Sum Rules (LSR) were established, we investigate the construction of compact objects in Randall-Sundrum braneworlds supported by matter fields that are dynamically consistent and…

General Relativity and Quantum Cosmology · Physics 2026-01-26 G. Alencar , T. M. Crispim , Francisco S. N. Lobo

Small black holes in heterotic string theory have vanishing horizon area at the supergravity level, but the horizon is stretched to the finite radius $AdS_2 \times S^{D-2}$ geometry once higher curvature corrections are turned on. This has…

High Energy Physics - Theory · Physics 2013-05-29 Chiang-Mei Chen , Dmitri V. Gal'tsov , Nobuyoshi Ohta , Dmitry G. Orlov

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is…

High Energy Physics - Theory · Physics 2010-11-01 Gary T. Horowitz , Dean L. Welch

In general, a finite metric function at the center of a black hole describes a non-singular spacetime but an infinite metric at the center gives a singular spacetime, where the former is associated with convergent Ricci and Kretschmann…

General Relativity and Quantum Cosmology · Physics 2022-09-19 Yan-Gang Miao , Hao Yang

We consider Kaluza-Klein models where internal spaces are compact flat or curved Einstein spaces. This background is perturbed by a compact gravitating body with the dust-like equation of state (EoS) in the external/our space and an…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Ozgur Akarsu , Alexey Chopovsky , Alexander Zhuk

Hawking's local rigidity theorem, proven in the smooth setting by Alexakis-Ionescu-Klainerman, says that the event horizon of any stationary non-extremal black hole is a non-degenerate Killing horizon. In this paper, we prove that the full…

Differential Geometry · Mathematics 2024-09-20 Klaus Kroencke , Oliver Petersen

A family of exact conformal field theories is constructed which describe charged black strings in three dimensions. Unlike previous charged black hole or extended black hole solutions in string theory, the low energy spacetime metric has a…

High Energy Physics - Theory · Physics 2009-10-22 James H. Horne , Gary T. Horowitz

The null string equations of motion and constraints in the Schwarzschild spacetime are given. The solutions are those of the null geodesics of General Relativity appended by a null string constraint in which the "constants of motion" depend…

High Energy Physics - Theory · Physics 2014-11-18 Mariusz P. Dabrowski , Arne. L. Larsen

In this paper, we derive rotating black string solutions in the presence of two kinds of nonlinear electromagnetic fields, so called Born-Infeld and power Maxwell invariant. Investigation of the solutions show that for the Born-Infeld black…

High Energy Physics - Theory · Physics 2010-11-04 S. H. Hendi

In the present work, we study four-dimensional black strings in Horndeski models with translation invariance. Imposing that the scalar field depends on the string-generator coordinate, the Klein-Gordon equation admits a linear profile as a…

High Energy Physics - Theory · Physics 2023-11-30 Luis Guajardo

We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that…

General Relativity and Quantum Cosmology · Physics 2022-11-22 A S. Habibina , H. S. Ramadhan

Using G2(2) dualities we construct the most general black string solution of minimal five-dimensional ungauged supergravity. The black string has five independent parameters, namely, the magnetic one-brane charge, smeared electric…

High Energy Physics - Theory · Physics 2010-11-30 Geoffrey Compère , Sophie de Buyl , Sean Stotyn , Amitabh Virmani

We derive a simple set of non-linear, (1+1)-dimensional partial differential equations that describe the dynamical evolution of black strings and branes to leading order in the expansion in the inverse of the number of dimensions D. These…

High Energy Physics - Theory · Physics 2015-09-02 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

A Schwarzschild type solution in Regge calculus is considered. Earlier, we considered a mechanism of loose fixing of edge lengths due to the functional integral measure arising from integration over connection in the functional integral for…

General Relativity and Quantum Cosmology · Physics 2020-09-01 V. M. Khatsymovsky

We study classical closed bosonic strings probing the near-horizon region of a non-extremal black hole and show that this corresponds to understanding string theory in the Carroll regime. This is done by first performing a Carroll expansion…

High Energy Physics - Theory · Physics 2024-07-19 Arjun Bagchi , Aritra Banerjee , Jelle Hartong , Emil Have , Kedar S. Kolekar

We study the emergence of string instabilities in $D$ - dimensional black hole spacetimes (Schwarzschild and Reissner - Nordstr\o m), and De Sitter space (in static coordinates to allow a better comparison with the black hole case). We…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. O. Lousto , N. Sánchez

Using recently developed numerical methods, we examine neutral compactified non-uniform black strings which connect to the Gregory-Laflamme critical point. By studying the geometry of the horizon we give evidence that this branch of…

High Energy Physics - Theory · Physics 2017-08-23 T. Wiseman

We consider a cylindrically symmetric solution for the field equations of Einstein-Hilbert action with a negative cosmological constant in four dimensions. The small statistical fluctuation in the equilibrium thermodynamics of the black…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Jyotish Kumar , Sudhaker Upadhyay , Himanshu Kumar Sudhanshu
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