Volume of a rotating black hole in 2+1 dimensions
In this article we apply the technique for maximal volume estimation of a black hole developed by Christodoulou and Rovelli [1] for Schwarzschild black hole and by Zhang et al. [3] for non rotating BTZ black hole, to the case of a rotating black hole in 2+1 dimensions. We derive the equation of the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322005159 |
| _version_ | 1797998999101243392 |
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| author | Suraj Maurya Sashideep Gutti Rahul Nigam |
| author_facet | Suraj Maurya Sashideep Gutti Rahul Nigam |
| author_sort | Suraj Maurya |
| collection | DOAJ |
| description | In this article we apply the technique for maximal volume estimation of a black hole developed by Christodoulou and Rovelli [1] for Schwarzschild black hole and by Zhang et al. [3] for non rotating BTZ black hole, to the case of a rotating black hole in 2+1 dimensions. We derive the equation of the maximal hyper-surface for the rotating BTZ black hole using the Lagrangian formulation demonstrated in [1]. Further we use maximization technique illustrated earlier by Bengtsson et al. [4] for Kerr black hole to arrive at the similar result for our case. We argue that the maximum contribution to the volume of the hyper-surface comes from what we call the steady state radius, which we show depends on mass M and the AdS length scale. We demonstrate that this steady state radius can be derived using independent considerations of vanishing extrinsic curvature. We show that the volume of this segment of the maximal hyper-surface, the CR volume, depends on mass, AdS length scale and angular momentum J. We further compute the entropy of a scalar field living on the maximal hyper-surface for a near extremal black hole and show that it is proportional to the horizon entropy of the black hole. |
| first_indexed | 2024-04-11T10:56:36Z |
| format | Article |
| id | doaj.art-9cf1c431149549f4b73900fc96242e27 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T10:56:36Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-9cf1c431149549f4b73900fc96242e272022-12-22T04:28:44ZengElsevierPhysics Letters B0370-26932022-10-01833137381Volume of a rotating black hole in 2+1 dimensionsSuraj Maurya0Sashideep Gutti1Rahul Nigam2Department of Physics, BITS-Pilani Hyderabad Campus, Jawahar Nagar, Hyderabad, 500078, Telangana, IndiaDepartment of Physics, BITS-Pilani Hyderabad Campus, Jawahar Nagar, Hyderabad, 500078, Telangana, IndiaCorresponding author.; Department of Physics, BITS-Pilani Hyderabad Campus, Jawahar Nagar, Hyderabad, 500078, Telangana, IndiaIn this article we apply the technique for maximal volume estimation of a black hole developed by Christodoulou and Rovelli [1] for Schwarzschild black hole and by Zhang et al. [3] for non rotating BTZ black hole, to the case of a rotating black hole in 2+1 dimensions. We derive the equation of the maximal hyper-surface for the rotating BTZ black hole using the Lagrangian formulation demonstrated in [1]. Further we use maximization technique illustrated earlier by Bengtsson et al. [4] for Kerr black hole to arrive at the similar result for our case. We argue that the maximum contribution to the volume of the hyper-surface comes from what we call the steady state radius, which we show depends on mass M and the AdS length scale. We demonstrate that this steady state radius can be derived using independent considerations of vanishing extrinsic curvature. We show that the volume of this segment of the maximal hyper-surface, the CR volume, depends on mass, AdS length scale and angular momentum J. We further compute the entropy of a scalar field living on the maximal hyper-surface for a near extremal black hole and show that it is proportional to the horizon entropy of the black hole.http://www.sciencedirect.com/science/article/pii/S0370269322005159Rotating BTZ black holeVolume of black holeAdS space |
| spellingShingle | Suraj Maurya Sashideep Gutti Rahul Nigam Volume of a rotating black hole in 2+1 dimensions Physics Letters B Rotating BTZ black hole Volume of black hole AdS space |
| title | Volume of a rotating black hole in 2+1 dimensions |
| title_full | Volume of a rotating black hole in 2+1 dimensions |
| title_fullStr | Volume of a rotating black hole in 2+1 dimensions |
| title_full_unstemmed | Volume of a rotating black hole in 2+1 dimensions |
| title_short | Volume of a rotating black hole in 2+1 dimensions |
| title_sort | volume of a rotating black hole in 2 1 dimensions |
| topic | Rotating BTZ black hole Volume of black hole AdS space |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322005159 |
| work_keys_str_mv | AT surajmaurya volumeofarotatingblackholein21dimensions AT sashideepgutti volumeofarotatingblackholein21dimensions AT rahulnigam volumeofarotatingblackholein21dimensions |