# Absorption of a particle by a rotating black hole: The potential barrier

## Abstract

For a test particle approaching a rapidly rotating black hole we find a range of values of the particle’s energy and angular momentum, on the order of 1% or more of the corresponding values of the hole, such that three conditions are satisfied. The particle can reach the horizon. After absorption the new hole still has a horizon. The area of the new hole is less than the area of the original one, in apparent violation of a theorem of Hawking. As a result, we offer support for the claim that the test particle approximation is the cause of the violation.

- Authors:

- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1410617

- Report Number(s):
- LA-UR-16-23309

Journal ID: ISSN 0217-751X; TRN: US1800137

- Grant/Contract Number:
- AC52-06NA25396

- Resource Type:
- Accepted Manuscript

- Journal Name:
- International Journal of Modern Physics A

- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 25; Journal ID: ISSN 0217-751X

- Publisher:
- World Scientific

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy and Astrophysics; absorption of a particle; rotating black hole; potential barrier; area theorem; test particle approximation

### Citation Formats

```
Heller, Leon. Absorption of a particle by a rotating black hole: The potential barrier. United States: N. p., 2016.
Web. doi:10.1142/S0217751X16501347.
```

```
Heller, Leon. Absorption of a particle by a rotating black hole: The potential barrier. United States. doi:10.1142/S0217751X16501347.
```

```
Heller, Leon. Fri .
"Absorption of a particle by a rotating black hole: The potential barrier". United States. doi:10.1142/S0217751X16501347. https://www.osti.gov/servlets/purl/1410617.
```

```
@article{osti_1410617,
```

title = {Absorption of a particle by a rotating black hole: The potential barrier},

author = {Heller, Leon},

abstractNote = {For a test particle approaching a rapidly rotating black hole we find a range of values of the particle’s energy and angular momentum, on the order of 1% or more of the corresponding values of the hole, such that three conditions are satisfied. The particle can reach the horizon. After absorption the new hole still has a horizon. The area of the new hole is less than the area of the original one, in apparent violation of a theorem of Hawking. As a result, we offer support for the claim that the test particle approximation is the cause of the violation.},

doi = {10.1142/S0217751X16501347},

journal = {International Journal of Modern Physics A},

number = 25,

volume = 31,

place = {United States},

year = {2016},

month = {9}

}

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Works referenced in this record:

##
Absorption of a Particle by a Rotating Black hole

journal, October 2012

- Heller, Leon
- International Journal of Modern Physics A, Vol. 27, Issue 27

##
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##
Gravitational Radiation from Colliding Black Holes

journal, May 1971

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- Physical Review Letters, Vol. 26, Issue 21