Geometrothermodynamics of neutral black ring: large and small
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Abstract
In this paper we study geometry of black ring in two cases of small or large. By using a Legendre invariant transformation we show that how we are able to recover the phase transitions between black hole to black ring in a self consistent geometrical way. Beyond the stability region of black ring we show that many singular pouts exist as the poles of Ricci scalar of the correspondent metric. It indicates that the phase transition from black hole to black ring is not unique and can be copied several times if we investigate the geometry of the mix system beyond the stability interval.
References
1 Emparan R. and Reall H. S., A rotating black ring in five dimensions // Physical Review Letters. - 2002. - Vol. 88. - № 10. - DOI: 10.1103/PhysRevLett.88.101101.
2 Myers R. C. and Perry M. J., Black Holes In Higher Dimensional Space-Times // Annals of Physics. - 1986. - Vol. 172. - № 2. - Р. 304–347.
3 Emparan R., Rotating circular strings, and infinite non-uniqueness of black rings // Journal High Energy Physics. - 2004. - Vol. 2004. - DOI:10.1088/1126-6708/2004/03/064.
4 Elvang H. and Emparan R., Black rings, supertubes and a stringy resolution of black hole non-uniqueness // Journal High Energy Physics. - 2003. - Vol. 2003. - DOI: 10.1088/1126-6708/2003 /11/035.
5 Arcioni G. and Lozano-Tellechea E., Stability and critical phenomena of black holes and black rings // Physical Review D. -2005. - Vol.72. -№10. - DOI: 10.1103/PhysRevD.72.104021
2 Myers R. C. and Perry M. J., Black Holes In Higher Dimensional Space-Times // Annals of Physics. - 1986. - Vol. 172. - № 2. - Р. 304–347.
3 Emparan R., Rotating circular strings, and infinite non-uniqueness of black rings // Journal High Energy Physics. - 2004. - Vol. 2004. - DOI:10.1088/1126-6708/2004/03/064.
4 Elvang H. and Emparan R., Black rings, supertubes and a stringy resolution of black hole non-uniqueness // Journal High Energy Physics. - 2003. - Vol. 2003. - DOI: 10.1088/1126-6708/2003 /11/035.
5 Arcioni G. and Lozano-Tellechea E., Stability and critical phenomena of black holes and black rings // Physical Review D. -2005. - Vol.72. -№10. - DOI: 10.1103/PhysRevD.72.104021
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How to Cite
Altaibayeva, A. (2014). Geometrothermodynamics of neutral black ring: large and small. Recent Contributions to Physics (Rec.Contr.Phys.), 48(1), 87–91. Retrieved from https://bph.kaznu.kz/index.php/zhuzhu/article/view/764
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Theoretical Physics. Nuclear and Elementary Particle Physics. Astrophysics
