[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14477/jhm.2022.35.2.059

On the Geometry of Charged Rotating Black Holes

Yun, Jong Gug (Dept. of Math. Edu., Korea National Univ. of Edu.)

Publication Information

Journal for History of Mathematics / v.35, no.2, 2022 , pp. 59-70 More about this Journal

Abstract

In this paper, we review some aspects of geometry for charged rotating black holes which are formed from the gravitational collapse of a massive spinning star with electric charge. We also introduce the computation of entropy for black holes from loop quantum gravity which is a quantum theory of gravity based on Einstein's theory of general relativity.

Keywords

Black Holes; Ergosphere; Loop Quantum Gravity; Entropy;

Citations & Related Records

Reference

1	S. W. Hawking, Black Hole Explosions?, Nature 248(1974), 30-31. DOI
2	C. Misner, K. S. Thorne, J. Wheeler, Gravitation, W. H. Freeman and Company, 1973.
3	H. Reissner, Uber die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie, Annalen der Physik 50(9) (1916), 106-120. DOI
4	R. M. Wald, General Relativity, The Univ. of Chicago Press, 1984.
5	G. Nordstrom, On the Energy of the Gravitational Field in Einstein's Theory, Verhandl. Koninkl. Ned. Akad. Wetenschap., Afdel. Natuurk Amsterdam, 26 (1918), 1201-1208.
6	E. T. Newman et al, Metric of a Rotating Charged Mass, J. Math. Phys. 6 (1965), 918-919. DOI
7	J. D. Bekenstein, Black Holes and Entropy, Phys. Rev. D7 (1973), 2333-2346.
8	S. W. Hawking, Particle Creation by Black Holes, Commun. Math. Phys. 43 (1975), 199-220. DOI
9	R. P. Kerr, Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics, Physical Review Letters 11(5) (1963), 237-238. DOI
10	C. Rovelli, Quantum Gravity, Cambridge University Press, 2004.
11	K. Schwarzschild, Uber das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie, Sitzungsberichte der Koniglich Preussischen Akademie der Wissenschaften 7 (1916), 189-196.