Type- D solutions of the Einstein-Euler-Heisenberg nonlinear electrodynamics with a cosmological constant

authored by

Nora Breton, Claus Lämmerzahl, Alfredo Macías

Abstract

We establish the Einstein-Euler-Heisenberg system of field equations with cosmological constant (EEH-Λ) for type-D metrics within the null tetrad formalism. Then we determine all type-D solutions to the EEH-Λ equations; among the derived solutions are the Einstein-Euler-Heisenberg-Λ generalizations of the Bertotti-Robinson, Reissner-Nordström, Newman-Unti-Tamburino-B (NUT-B) (+), and Kerr-Newman solutions. Moreover it is shown that the (static) C-metric is not compatible with the Euler-Heisenberg electrodynamics.

External Organisation(s)

Center for Research and Advanced Studies of the National Polytechnic Institute
University of Bremen
Universidad Autonoma Metropolitana (UAM)
Center of Applied Space Technology and Microgravity (ZARM)

Type

Article

Journal

Physical Review D

Volume

107

ISSN

2470-0010

Publication date

15.03.2023

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Electronic version(s)

https://doi.org/10.1103/physrevd.107.064026 (Access: Closed)