# Letter: Charged Black Hole Solutions in Einstein-Born-Infeld Gravity with a Cosmological Constant

@article{Fernando2003LetterCB, title={Letter: Charged Black Hole Solutions in Einstein-Born-Infeld Gravity with a Cosmological Constant}, author={Sharmanthie Fernando and Donald Krug}, journal={General Relativity and Gravitation}, year={2003}, volume={35}, pages={129-137} }

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions differs drastically from their counterparts in Einstein-Maxwell gravity with a cosmological constant. The charged de-Sitter black holes can have up to three horizons and the charged anti-de Sitter black hole can have one or two depending on the parameters…

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## References

SHOWING 1-10 OF 31 REFERENCES

### Solitons and black holes in Einstein-Born-Infeld-dilaton theory

- Mathematics
- 2000

Static spherically symmetric asymptotically flat solutions to the $U(1)$ Born-Infeld theory coupled to gravity and to a dilaton are investigated. The dilaton enters in such a way that the theory is…

### Thermodynamics of black holes in anti-de Sitter space

- Physics
- 1983

The Einstein equations with a negative cosmological constant admit black hole solutions which are asymptotic to anti-de Sitter space. Like black holes in asymptotically flat space, these solutions…

### Black holes with unusual topology

- Physics
- 1997

Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti\char21{}de Sitter space. Matter fields in anti\char21{}de Sitter space can be in stable…

### Dirac-Born-Infeld Action from Dirichlet Sigma Model

- Mathematics
- 1989

In a recent paper we discussed, among other things, the effect of duality transformations on the open bosonic string theory. Namely, we conjectured that a macroscopic object, the D-brane, effectively…

### Cosmological Event Horizons, Thermodynamics, and Particle Creation

- Physics
- 1977

It is shown that the close connection between event horizons and thermodynamics which has been found in the case of black holes can be extended to cosmological models with a repulsive cosmological…

### Spacetimes admitting a three-parameter group of isometries and quasilocal gravitational mass.

- Physics, MathematicsPhysical review. D, Particles and fields
- 1990

It is shown that this invariant covariantizes and geometrizes certain forms of "quasilocal mass" introduced and discussed in the literature, in particular, Misner's mass in spherical symmetry and Taub's "mass" in plane symmetry.