Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity

Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the Lorentz-violating parameter. Through the study of the AdS/CFT correspondence...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Vol. 85; no. 8; pp. 831 - 11
Main Author: Ding, Hai-Feng
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 02.08.2025
Springer Nature B.V
SpringerOpen
Subjects:
Accretion disks
Algebra
Angular momentum
Astronomy
Astrophysics and Cosmology
Asymptotic properties
Black holes
Boundary conditions
Bumblebees
Elementary Particles
Entropy
Field theory
Geometry
Gravity
Hadrons
Heavy Ions
Investigations
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Spacetime
String Theory
Symmetry
ISSN:1434-6052, 1434-6044, 1434-6052
Online Access:Get full text
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Summary:Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the Lorentz-violating parameter. Through the study of the AdS/CFT correspondence, we derive the asymptotic charge algebra, which consists of two copies of the Virasoro algebra with non-trivial central charges. By employing the Cardy formula, we calculate the microscopic entropy of dual conformal field theory, which precisely matches with the Bekenstein–Hawking entropy. Furthermore, by imposing the Detournay–Smoes–Wutte boundary conditions in the near horizon geometry of the extremal BTZ-like black hole, we obtain a Virasoro–Kac–Moody U ( 1 ) algebra, representing the symmetry algebra of a warped conformal field theory.
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ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-025-14562-7