Multipole expansion of stationary asymptotically flat vacuum metrics in general relativity

Journal Article · Mon Jun 01 00:00:00 EDT 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.525047· OSTI ID:6188273

Kundu, P

A multipole expansion scheme is introduced for a wide class of stationary, asymptotically flat, vacuum solutions of Einstein's equations using the conformal techniques of Geroch and Hansen. An intrinsic choice of the conformal factor and suitable asymptotic flatness conditions enable one to express the rescaled gravitational mass and angular momentum potentials and the rescaled spatial metric as power series in normal coordinates around a point ..lambda.. representing the spatial infinity on the conformal manifold. The coefficients of this expansion are certain nonlinear combinations of the Hansen multipole moments. As an example the Schwarzschild metric is discussed in the present framework.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 6188273
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL MANIFOLDS
METRICS
MULTIPOLES
POWER SERIES
SCHWARZSCHILD METRIC
SERIES EXPANSION
VACUUM STATES