26-28 February 2025
Facultad de Ciencias
America/Lima timezone

AdS Space-Times and Geometry of the BTZ Black Hole

Not scheduled
20m
Auditorio (Facultad de Ciencias)

Auditorio

Facultad de Ciencias

Universidad Nacional de Ingeniería Puerta 5 – Av. Tupac Amaru N° 210 Rimac.
Póster Poster

Speaker

Richard Fernando Jose Avalos Arteaga (Universidad Nacional Mayor de San Marcos)

Description

This work explores Anti-de Sitter (AdS) space-times and their role in modeling black holes in 2+1 dimensions, focusing on the BTZ black hole as a key theoretical tool for studying gravity, holography, and quantum effects. AdS space-times, defined by a negative cosmological constant, are analyzed using global, Poincaré, and conformal coordinates, each revealing unique geometric and causal properties. The BTZ black hole, discovered in 1992 [1], exhibits event horizons and thermodynamic behavior similar to higher-dimensional black holes [2].
This study concludes by emphasizing the BTZ black hole's importance as a theoretical model in lower dimensions, with future work extending the analysis to charged versions to investigate how charge modifies geometry and geodesics.

Keywords: AdS space-time, BTZ black hole, AdS/CFT correspondence, geodesics, Penrose diagram.

References

[1] M. Bañados, C. Teitelboim, and J. Zanelli, “Black hole in three-dimensional spacetime,” Phys. Rev. Lett. 69 (1992), 1849–1851. DOI: 10.1103/PhysRevLett.69.1849.
[2] S. Carlip, “The (2+1)-dimensional black hole,” Class. Quantum Grav. 12 (1995), 2853–2879. DOI: 10.1088/0264-9381/12/12/005.

Breve historial académico Me especializo en física teórica, con interés en gravitación, holografía y agujeros negros. Soy miembro del Grupo de Física Teórica (GFT) de la UNMSM, donde participo en investigaciones en estas áreas.

Primary author

Richard Fernando Jose Avalos Arteaga (Universidad Nacional Mayor de San Marcos)

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