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Article Dans Une Revue Physical Review D Année : 2021

Spherically symmetric black holes and affine-null metric formulation of Einstein’s equations

Emanuel Gallo
  • Fonction : Auteur
Carlos Kozameh
  • Fonction : Auteur
Thomas Mädler
  • Fonction : Auteur
Osvaldo M. Moreschi
  • Fonction : Auteur

Résumé

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (e.g., r=2M in the Schwarzschild black hole) or to an implicit dependence of the chosen coordinates to physical relevant coordinates (e.g., the dependence of the null coordinates in the Kruskal metric). Here we discuss two approaches for coordinate choices in spherically symmetric spacetimes allowing us to explicitly discuss “solitary” and spherically symmetric black holes from a regular horizon to null infinity. The first approach relies on a construction of a regular null coordinate system (where regular is meant as being defined from the horizon to null infinity) given an explicit solution of the Einstein-matter equations. The second approach is based on an affine-null formulation of the Einstein equations and the respective characteristic initial value problem. In particular, we present a derivation of the Reissner-Nordström black holes expressed in terms of these regular coordinates.

Dates et versions

hal-03315384 , version 1 (05-08-2021)

Identifiants

Citer

Emanuel Gallo, Carlos Kozameh, Thomas Mädler, Osvaldo M. Moreschi, Alejandro Pérez. Spherically symmetric black holes and affine-null metric formulation of Einstein’s equations. Physical Review D, 2021, 104 (8), pp.084048. ⟨10.1103/PhysRevD.104.084048⟩. ⟨hal-03315384⟩
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