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arXiv · 0704.3784

Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics

Ivan Zh. Stefanov·Stoytcho S. Yazadjiev·Michail D. Todorov
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Abstract

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The no-scalar-hair theorems, however, do not apply in the case of non-linear electrodynamics. In the present work numerical solutions describing charged black holes coupled to Born-Infeld type non-linear electrodynamics in scalar-tensor theories of gravity with massless scalar field are found. The causal structure and properties of the solutions are studied, and a comparison between these solutions and the corresponding solutions in the General Relativity is made. The presence of the scalar field leads to a much more simple causal structure. The present class of black holes has a single, non-degenerate horizon, i.e., its causal structure resembles that of the Schwarzschild black hole.

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Ivan Zh. Stefanov, Stoytcho S. Yazadjiev, Michail D. Todorov. 2007-04-28. Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics. https://doi.org/10.1103/physrevd.75.084036

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