Theoretical Physics
On Schwarzschild anti De Sitter and Reissner-Nördstrom Wormholes
Download PDF (9635.8 KB) PP. 133 - 149 Pub. Date: December 1, 2019
Author(s)
- Oscar Brauer*
Facultad de Ciencias, Universidad Nacional Autónoma de México - Miguel Socolovsky*
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Cd. Universitaria, 04510, Ciudad de México, México; Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föringher Ring 6, 80805, München, Germany
Abstract
Keywords
References
[1] Kruskal, M.D. Maximal extension of Schwarzschild metric, Phys. Rev. 119, 1743-1745 (1960).
[2] Szekeres, G. On the singularities of a Riemannian manifold, Publ. Math. Debrecen 7, 285-301 (1960).
[3] Misner, C.W. and Wheeler, J.A. Classical Physics as Geometry, Ann. of Phys. 2, 525-603 (1957).
[4] Einstein, A. and Rosen, N. The particle problem in the general theory of relativity, Phys. Rev. 48, 73-77 (1935).
[5] Fuller, R.W. and Wheeler, J.A. Causality and Multiply Connected Space-Time, Phys. Rev. 128, 919-929 (1962).
[6] Carroll, S. “Spacetime and Geometry. An Introduction to General Relativity”, Addison Wesley, San Francisco (2004).
[7] Collas, P. and Klein, D. Embeddings and time evolution of the Schwarzschild wormhole, Am. J. Phys. 80, 203-210 (2012).
[8] Morris, M.S. and Thorne, K.S. Wormholes in spacetime and their use for interstellar travel: A tool for teaching General Relativity, Am. J. Phys. 56, 395-412 (1988).
[9] Visser, M. “Lorentzian Wormholes: From Einstein to Hawking”, American Institute of Physics, New York (1995).
[10] Lobo, F.S.N. “From the Flamm-Einstein-Rosen bridge to the modern renaissence of traversable wormholes”, The Fourteenth Marcel Grossmann Meeting, University of Rome “La Sapienza”, World Scientific, 409-427 (2017).
[11] Witten, E. Light Rays, Singularities, and All That, arXiv: hep-th/1901.03928v1 (2019).
[12] Flamm, L. Beiträge zur Einsteinschen Gravitationtheorie, Physikalische Zeitschrift XVII, 448-454 (1916); reprinted: Contributions to Einstein’s theory of gravitation, Gen. Relat. Gravit. 47:72 (2015).
[13] Townsend, P.K. “Black Holes”, Lecture notes, DAMTP, Cambridge (1997); arXiv: gr-qc/9707012v1.
[14] Socolovsky, M. Schwarzschild Black Hole in Anti-De Sitter Space, Adv. App. Clifford Algebras 28:18 (2018).
[15] Gao,P., Jafferis,D.L., and Wall, A.C. Traversable Wormholes via a Double Trace Deformation, arXiv: hepth/ 1608.05687v2 (2017).
[16] Maldacena, J. and Qi, X.L. Eternal traversable wormhole, arXiv: hep-th/1804.00491v3 (2018).