Generalized proof of a mass-monopole criterion

Journal Article · Sat Mar 15 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1538· OSTI ID:5923168

Schleifer, N

A proof is presented demonstrating the general applicability of a formalism, developed in a previous paper, that is of theoretical significance to the Einstein-Infeld-Hoffmann approach to equations of motion in general relativity. This formalism, utilizing the scalar invariants of a vacuum gravitational field, allows one to determine the mass-monopole characteristics of a source perturbed by an arbitrary stress-energy distribution, by analyzing only its surrounding field. The proof utilizes the Regge-Wheeler-Zerilli method of tensor spherical harmonic decomposition of perturbations of a Schwarzschild background. It is concluded that a generalization of our formalism to a more complex source structure (as well as a proof that does not need to resort to any approximation procedures) must await a deeper understanding of the global properties of the eigenvalues of the Riemann curvature tensor.

• Research Organization: Department of Physics, Seton Hall University, South Orange, New Jersey 07079
• OSTI ID: 5923168
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL SPACE
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
RIEMANN SPACE
SINGULARITY
SPACE
SYMMETRY GROUPS