Spacetimes dressed with stealth electromagnetic fields

Ivica Smolić
Phys. Rev. D 97, 084041 – Published 23 April 2018

Abstract

Stealth field configurations by definition have a vanishing energy-momentum tensor, and thus do not contribute to the gravitational field equations. While only trivial fields can be stealth in Maxwell’s electrodynamics, nontrivial stealth fields appear in some nonlinear models of electromagnetism. We find the necessary and sufficient conditions for the electromagnetic fields to be stealth and analyze which models admit such configurations. Furthermore, we present some concrete exact solutions, featuring a class of black holes dressed with the stealth electromagnetic hair, closely related to force-free solutions. Stealth hair does not alter the generalized Smarr formula, but may contribute to the Komar charges.

  • Received 15 January 2018

DOI:https://doi.org/10.1103/PhysRevD.97.084041

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Ivica Smolić*

  • Department of Physics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia

  • *ismolic@phy.hr

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Issue

Vol. 97, Iss. 8 — 15 April 2018

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