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Four parametric regular black hole solution

Eloy Ayon-Beato
(
- CECS, Valdivia and
- CINVESTAV, IPN
)
,
Alberto Garcia
(
- CINVESTAV, IPN
)

Mar, 2004

6 pages

Published in:

Gen.Rel.Grav. 37 (2005) 635

e-Print:

hep-th/0403229 [hep-th]

DOI:

10.1007/s10714-005-0050-y

Report number:

CECS-PHY-04-06

View in:

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Abstract:

We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstrom one. The class is endowed with four parameters, which can be thought of as the mass

m

, charge

q

, and a sort of dipole and quadrupole moments

\alpha

and

\beta

, respectively. For

\alpha \geq 3

,

\beta \geq 4

, and

|q| \leq 2 s_c m

the corresponding solutions are regular charged black holes. For

\alpha=3

, they also satisfy the weak energy condition. For

\alpha=\beta=0

we recover the Reissner-Nordstrom singular solution and for

\alpha=3

,

\beta=4

the family includes a previous regular black hole reported by the authors.

Note:

RevTeX, 6 pages, minor changes

Regular black hole
Nonlinear electrodynamics
black hole
Einstein equation: solution
electromagnetic field: nonlinear
energy
singularity

References(20)

Figures(0)

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