A tractroid realization of a 2d black hole vacuum

Main Article Content

Floyd L Williams*

Abstract

The two-dimensional black hole vacuum obtained from a spatial slice of the BTZ black hole is mapped explicitly to a tractroid surface minus a bounding circle.

Downloads

Download data is not yet available.

Article Details

Williams, F. L. (2022). A tractroid realization of a 2d black hole vacuum. Annals of Mathematics and Physics, 5(2), 097–099. https://doi.org/10.17352/amp.000046
Mini Reviews

Copyright (c) 2022 Williams FL.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Bañados M, Teitelboim C, Zanelli J. Black hole in three-dimensional spacetime. Phys Rev Lett. 1992 Sep 28;69(13):1849-1851. doi: 10.1103/PhysRevLett.69.1849. PMID: 10046331.

Carlip S, Teitelboim C. Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions. Phys Rev D Part Fields. 1995 Jan 15;51(2):622-631. doi: 10.1103/physrevd.51.622. PMID: 10018515.

Williams F. Remarks on the Patterson-Selberg zeta function, black hole vacua, and extremal CFT partition functions. Journal of Physics A: Math. and Theoretical. 2012; 45: 1-19.

Binosi D, Moretti V, Vanzo L, Zerbini S. Quantum scalar field on the massless (2+1) - dimensional black hole background. Phys Rev. 1999; 59: 104017.

Hilbert D. Ueber Flachen von Constanter Gaussscher Krummung. Trans Am Math Soc.1901; 2: 87-99.

Miyachi T, Soda J, False vacuum decay in a two-dimensional black hole spacetime. Phys Rev D. 2021; 103(8): 085009.

Shkerin A, Sibiryakov S. Black hole induced false vacuum decay from first principles. Journal of High Energy Physics. 2021; 11(197): 1 - 69.

He GG, Fan XY, Zhang FL, Robust violation of a multipartite Bell inequality from the perspective of a single-system game, Modern Physics Letters A. 2022; 37(12): 2250082.

Dandoloff R, Saxena A, Jensen B, Geometry induced potential on a 2d-section of a wormhole: Catenoid, Physical Rev A. 2010; 87: 014102.