# Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes

## Abstract

We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (nonstationary) black holes. We use a parabolic heat flow to solve numerically the stationary axially symmetric Einstein equations. As a by-product of our method, we also give numerical evidences that there are no regular solutions of Einstein equations that describe two extreme, axially symmetric black holes in equilibrium.

- Authors:

- Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria (5000) Cordoba, Argentina, and Max Planck Institute for Gravitational Physics (Albert-Einstein-Institute) Am Muehlenberg 1 D-14476 Potsdam (Germany)
- (5000) Cordoba (Argentina)

- Publication Date:

- OSTI Identifier:
- 21316268

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 80; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.80.024045; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ANGULAR MOMENTUM; AXIAL SYMMETRY; BLACK HOLES; BY-PRODUCTS; EINSTEIN FIELD EQUATIONS; EQUILIBRIUM; HEAT FLUX; MASS; MATHEMATICAL SOLUTIONS

### Citation Formats

```
Dain, Sergio, Ortiz, Omar E., and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria.
```*Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes*. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVD.80.024045.

```
Dain, Sergio, Ortiz, Omar E., & Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria.
```*Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes*. United States. doi:10.1103/PHYSREVD.80.024045.

```
Dain, Sergio, Ortiz, Omar E., and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria. Wed .
"Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes". United States. doi:10.1103/PHYSREVD.80.024045.
```

```
@article{osti_21316268,
```

title = {Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes},

author = {Dain, Sergio and Ortiz, Omar E. and Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Ciudad Universitaria},

abstractNote = {We present numerical evidences for the validity of the inequality between the total mass and the total angular momentum for multiple axially symmetric (nonstationary) black holes. We use a parabolic heat flow to solve numerically the stationary axially symmetric Einstein equations. As a by-product of our method, we also give numerical evidences that there are no regular solutions of Einstein equations that describe two extreme, axially symmetric black holes in equilibrium.},

doi = {10.1103/PHYSREVD.80.024045},

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

number = 2,

volume = 80,

place = {United States},

year = {Wed Jul 15 00:00:00 EDT 2009},

month = {Wed Jul 15 00:00:00 EDT 2009}

}

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