Hairy mass bound in the Einstein-Born-Infeld black hole

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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11 pages, 3 figures

Scientific paper

We study the Einstein-Born-Infeld (EBI) theory where hairy black hole was found as the EBI black hole by using Hod's idea. The hair extends beyond the photon-sphere of the EBI black hole spacetimes. We show that the region beyond the photon-sphere involves more than half of the total hair's mass. However, the hairy mass bound proposed by Hod is not suitable for accounting the hair (EBIon) distributed in the whole spacetimes. Hence, we propose a new hairy mass bound for the EBI black hole.

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