On spherically symmetric shear-free perfect fluid configurations (neutral and charged). I

Journal Article · Fri May 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527558· OSTI ID:6679704

Sussman, R A

A class of solutions describing a wide variety of nonstatic, spherically symmetric, charged, shear-free perfect fluid configurations is derived. It is presented in the form of Jacobian elliptic functions characterized by seven free parameters: five constants and two arbitrary functions of time. This class of solutions is the most general charged version of the class derived by Kustaanheimo and Qvist (Comment. Phys. Math. Helsingf. 13, 12 (1948); Exact Solutions of Einstein's Field Equations (Cambridge U. P., Cambridge, 1980), Chap. 12, Sec. 2). It is found that many of the charged particular solutions expressible by elementary functions are new. Particular solutions, including neutral and uniform density solutions, are classified in detail. The physical interpretation of these solutions, including the study of their singularity structure, will be presented in a subsequent paper (Part II).

• Research Organization: School of Mathematical Sciences, Queen Mary College, Mile End Road, London E1 4NS, England
• OSTI ID: 6679704
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
CLASSIFICATION
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FLUID FLOW
GENERAL RELATIVITY THEORY
IDEAL FLOW
SYMMETRY
TIME DEPENDENCE