Gauge-invariant coupled gravitational, acoustical, and electromagnetic modes on most general spherical space-times

Journal Article · Mon Sep 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.1300· OSTI ID:5054515

Gerlach, U H; Sengupta, U K

The coupled Einstein-Maxwell system linearized away from an arbitrarily given spherically symmetric background space-time is reduced from its four-dimensional to a two-dimensional form expressed solely in terms of gauge-invariant geometrical perturbation objects. These objects, which besides the gravitational and electromagnetic, also include mass-energy degrees of freedom, are defined on the two-manifold spanned by the radial and time coordinates. For charged or uncharged arbitrary matter background the odd-parity perturbation equations for example, reduce to three second-order linear scalar equations driven by matter and charge inhomogeneities. These three equations describe the intercoupled gravitational, electromagnetic, and acoustic perturbational degrees of freedom. For a charged black hole in an asymptotically de Sitter space-time the gravitational and electromagnetic equations decouple into two inhomogeneous scalar wave equations.

• Research Organization: Department of Mathematics, Ohio State University, Columbus, Ohio 43210
• OSTI ID: 5054515
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACOUSTICS
BLACK HOLES
COUPLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
PERTURBATION THEORY
SPACE-TIME
WAVE EQUATIONS