Rotating, radiating mass imbedded in a de Sitter universe

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1991

OSTI ID:5029727

Hadley, R H

This study presents a new solution to the Einstein field equations for a rotating, radiating mass imbedded in a de Sitter universe, the Kerr de Sitter-Vaidya or KDV line element. Solutions presented were precursers to the new solution. One of these, the Vaidya-Mallett or VM metric is used as a starting point to derive the KDV metric by a method called complexification. The mathematical framework for the KDV metric is the Newman-Penrose formalism, a powerful tool that provides insight into the various properties of the space-time geometry and optical properties of the radiation field. Using this formalism, the metric can be expressed in tetrad form and the Newman-Penrose spin coefficient equations solved for tetrad components of the trace-free Ricci tensor, Ricci scalar, Maxwell tensor, and Weyl tensor. Using the tetrad components of the Weyl tensor, the Petrov type for the gravitational and electromagnetic fields are found. The new solution is shown to be a solution to the Einstein-Maxwell equations for a particular choice of energy-momentum tensor which is studied in detail.

• Research Organization: Connecticut Univ., Storrs, CT (United States)
• OSTI ID: 5029727
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
KERR METRIC
LIE GROUPS
METRICS
SPACE-TIME
SYMMETRY GROUPS
TENSORS
UNIVERSE