# Hawking temperature of constant curvature black holes

## Abstract

The constant curvature (CC) black holes are higher dimensional generalizations of Banados-Teitelboim-Zanelli black holes. It is known that these black holes have the unusual topology of M{sub D-1}xS{sup 1}, where D is the spacetime dimension and M{sub D-1} stands for a conformal Minkowski spacetime in D-1 dimensions. The unusual topology and time-dependence for the exterior of these black holes cause some difficulties to derive their thermodynamic quantities. In this work, by using a globally embedding approach, we obtain the Hawking temperature of the CC black holes. We find that the Hawking temperature takes the same form when using both the static and global coordinates. Also, it is identical to the Gibbons-Hawking temperature of the boundary de Sitter spaces of these CC black holes.

- Authors:

- Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100190 (China)
- (Korea, Republic of)

- Publication Date:

- OSTI Identifier:
- 21502666

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.83.107502; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; DE SITTER SPACE; MINKOWSKI SPACE; SPACE-TIME; TIME DEPENDENCE; TOPOLOGY; MATHEMATICAL SPACE; MATHEMATICS; SPACE

### Citation Formats

```
Cai Ronggen, Myung, Yun Soo, and Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae 621-749.
```*Hawking temperature of constant curvature black holes*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.107502.

```
Cai Ronggen, Myung, Yun Soo, & Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae 621-749.
```*Hawking temperature of constant curvature black holes*. United States. doi:10.1103/PHYSREVD.83.107502.

```
Cai Ronggen, Myung, Yun Soo, and Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae 621-749. Sun .
"Hawking temperature of constant curvature black holes". United States. doi:10.1103/PHYSREVD.83.107502.
```

```
@article{osti_21502666,
```

title = {Hawking temperature of constant curvature black holes},

author = {Cai Ronggen and Myung, Yun Soo and Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae 621-749},

abstractNote = {The constant curvature (CC) black holes are higher dimensional generalizations of Banados-Teitelboim-Zanelli black holes. It is known that these black holes have the unusual topology of M{sub D-1}xS{sup 1}, where D is the spacetime dimension and M{sub D-1} stands for a conformal Minkowski spacetime in D-1 dimensions. The unusual topology and time-dependence for the exterior of these black holes cause some difficulties to derive their thermodynamic quantities. In this work, by using a globally embedding approach, we obtain the Hawking temperature of the CC black holes. We find that the Hawking temperature takes the same form when using both the static and global coordinates. Also, it is identical to the Gibbons-Hawking temperature of the boundary de Sitter spaces of these CC black holes.},

doi = {10.1103/PHYSREVD.83.107502},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 10,

volume = 83,

place = {United States},

year = {2011},

month = {5}

}