Exploring Torus Black-Holes In (1+3)- Dimensions: A Novel Approach to Higher Genus Solution
torus black-hole, (1 + 3)-dimensional general relativity, higher genus, metric ansatz
Abstract
A torus black-hole solution of the vacuum gravitational field equation of general relativity in (1 + 3)-dimensions is obtained. Starting with a metric ansatz associated with the torus, our method is based on straightforward computations the usual geometric mathematical tools of the Christoffel symbols and the Riemann tensor. Specifically, after deriving such mathematical tools the field equations of general relativity are considered. The resultatning equations are properly combained to find the solution. Moreover, the novelty and potential implications of this solution emerges from the fact that is based on a coordinate transformation metric ansatz. This provides with broad implications and future research directions. In particular we argue that our formalism can properly be used for a search of higher genus black-hole solution.
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References
C Nash, S Sen (1983) Topology and Geometry for Physicists.
Chao-Guang Huang, Can-Bin Liang (1995) A torus-like black hole. 201(1), 27-32.
R Zhao, S Zhang (2004) The Σ±-particles. 6(S2), 557-562.
Chang-Jun Gao, You-Gen Shen (2003) dBB quantization of a torus-like black hole. 20(1), 119-126.
R Ali, G Abbas (2023) Thermal fluctuations of Torus-like charged AdS Black Hole. 85, 386-401.
Y Song, Y He, B Mu Unknown Title.
Allah Ditta, Xia Tiecheng, Riasat Ali, Farruh Atamurotov, Asif Mahmood, Sohail Mumtaz (2023) Thermodynamic stability of the regular charged torus-like black hole. 453, 169326.
R Yin, J Liang, B Mu Unknown Title.
Y Han, X Zeng, Y Hong (1901) Unknown Title. 79, 10660.
Dieter Brill, Jorma Louko, Peter Peldán (1997) Thermodynamics ofhttp://www.w3.org/1998/Math/MathML" display="inline">(3+1)-dimensional black holes with toroidal or higher genus horizons. 56(6), 3600-3610.
Ahmad Sheykhi (2008) Topological Born-Infeld-dilaton black holes. 662(1), 7-13.
G Abbas, M Asgher (2022) Tidal effects in AdS charged torus-like black hole. 37(29), 2250198.
Kimet Jusufi (2023) Regular solutions for black strings and torus-like black holes. 39, 101156.
Aghil Alaee, Hari Kunduri (2023) A Penrose-Type Inequality with Angular Momenta for Black Holes with 3-Sphere Horizon Topology. 33(7), 231.
C Misner, K Thorn, J Wheeler (1973) Gravitation.
D Birmingham (1999) Unknown Title. 16, 1197.
Hui-Ling Li, De-Jiang Qi, Qing-Quan Jiang, Shu-Zheng Yang (2006) Tunneling Radiation of a Torus-Like Black Hole in Anti-de Sitter Space-Time. 45(12), 2428-2436.
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2025-01-20
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