Static spherically symmetric space-times with six Killing vectors

Journal Article · Tue Nov 01 00:00:00 EST 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528084· OSTI ID:7030829

Qadir, A; Ziad, M

It had been proved earlier that spherically symmetric, static space-times have ten, seven, six, or four independent Killing vectors (KV's), but there are no cases in between. The case of six KV's is investigated here. It is shown that the space-time corresponds to a hyperboloid cross a sphere, reminiscent of Kaluza--Klein theory, with a compactification from four down to two dimensions. In effect, there is a unique metric for this space-time corresponding to a uniform mass distribution over all space.

• Research Organization: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
• OSTI ID: 7030829
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 29:11
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
ANALYTICAL SOLUTION
KALUZA-KLEIN THEORY
SPACE-TIME
COMPACTIFICATION
EINSTEIN FIELD EQUATIONS
MASS DISTRIBUTION
MASS FORMULAE
SYMMETRY
DISTRIBUTION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
SPATIAL DISTRIBUTION
UNIFIED-FIELD THEORIES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation