# Greybody factors for brane scalar fields in a rotating black hole background

## Abstract

We study the evaporation of (4+n)-dimensional rotating black holes into scalar degrees of freedom on the brane. We calculate the corresponding absorption probabilities and cross sections obtaining analytic solutions in the low-energy regime and compare the derived analytic expressions to numerical results, with very good agreement. We then consider the high-energy regime, construct an analytic high-energy solution to the scalar-field equation by employing a new method, and calculate the absorption probability and cross section for this energy regime, finding again a very good agreement with the exact numerical results. We also determine the high-energy asymptotic value of the total cross section and compare it to the analytic results derived from the application of the geometrical optics limit.

- Authors:

- Department of Mathematical Sciences, University of Durham, Science Site, South Road, Durham DH1 3LE (United Kingdom)
- Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110 (Greece)
- (Greece)

- Publication Date:

- OSTI Identifier:
- 21020412

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084043; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ABSORPTION; ANALYTICAL SOLUTION; BLACK HOLES; BRANES; COMPARATIVE EVALUATIONS; COSMOLOGY; DEGREES OF FREEDOM; PROBABILITY; QUANTUM FIELD THEORY; SCALAR FIELDS; TOTAL CROSS SECTIONS

### Citation Formats

```
Creek, S., Efthimiou, O., Tamvakis, K., Kanti, P., and Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110.
```*Greybody factors for brane scalar fields in a rotating black hole background*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.084043.

```
Creek, S., Efthimiou, O., Tamvakis, K., Kanti, P., & Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110.
```*Greybody factors for brane scalar fields in a rotating black hole background*. United States. doi:10.1103/PHYSREVD.75.084043.

```
Creek, S., Efthimiou, O., Tamvakis, K., Kanti, P., and Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110. Sun .
"Greybody factors for brane scalar fields in a rotating black hole background". United States.
doi:10.1103/PHYSREVD.75.084043.
```

```
@article{osti_21020412,
```

title = {Greybody factors for brane scalar fields in a rotating black hole background},

author = {Creek, S. and Efthimiou, O. and Tamvakis, K. and Kanti, P. and Division of Theoretical Physics, Department of Physics, University of Ioannina, Ioannina GR-45110},

abstractNote = {We study the evaporation of (4+n)-dimensional rotating black holes into scalar degrees of freedom on the brane. We calculate the corresponding absorption probabilities and cross sections obtaining analytic solutions in the low-energy regime and compare the derived analytic expressions to numerical results, with very good agreement. We then consider the high-energy regime, construct an analytic high-energy solution to the scalar-field equation by employing a new method, and calculate the absorption probability and cross section for this energy regime, finding again a very good agreement with the exact numerical results. We also determine the high-energy asymptotic value of the total cross section and compare it to the analytic results derived from the application of the geometrical optics limit.},

doi = {10.1103/PHYSREVD.75.084043},

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

number = 8,

volume = 75,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}