Stationary dilatons with arbitrary electromagnetic field

Tonatiuh Matos; César Mora

doi:10.1088/0264-9381/14/8/027

Stationary dilatons with arbitrary electromagnetic field

Tonatiuh Matos, César Mora

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-dilaton equations with coupling constant α² = 3. Both classes are written in terms of two harmonic maps λ and τ. λ determines the gravitational potential and r the electromagnetic one in such a form that we can have an arbitrary electromagnetic field. As examples we generate two solutions with mass (M), rotation (s) and scalar (δ) parameters, one with electric charge (q) and the other with magnetic dipole (Q) parameter. The first solution contains the Kerr metric for q = δ = 0.

Original language	English
Pages (from-to)	2331-2340
Number of pages	10
Journal	Classical and Quantum Gravity
Volume	14
Issue number	8
DOIs	https://doi.org/10.1088/0264-9381/14/8/027
State	Published - Aug 1997
Externally published	Yes

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abstract = "We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-dilaton equations with coupling constant α2 = 3. Both classes are written in terms of two harmonic maps λ and τ. λ determines the gravitational potential and r the electromagnetic one in such a form that we can have an arbitrary electromagnetic field. As examples we generate two solutions with mass (M), rotation (s) and scalar (δ) parameters, one with electric charge (q) and the other with magnetic dipole (Q) parameter. The first solution contains the Kerr metric for q = δ = 0.",

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AB - We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-dilaton equations with coupling constant α2 = 3. Both classes are written in terms of two harmonic maps λ and τ. λ determines the gravitational potential and r the electromagnetic one in such a form that we can have an arbitrary electromagnetic field. As examples we generate two solutions with mass (M), rotation (s) and scalar (δ) parameters, one with electric charge (q) and the other with magnetic dipole (Q) parameter. The first solution contains the Kerr metric for q = δ = 0.

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JO - Classical and Quantum Gravity

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Stationary dilatons with arbitrary electromagnetic field

Abstract

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