Fluid sphere of uniform density in general relativity

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Gen. Relativity Gravitation, v. 4, no. 5, pp. 351-355

DOI:https://doi.org/10.1007/BF00771004· OSTI ID:4355021

Rao, J K

It is shown that for spherically symmetric perfect fluid solutions, With spatial isotropy and uniform density, the free gravitationa1 field produces a singularity at the center of the sphere and when this singularity is removed the space-time is conformally flat. It is pointed out that the interior geometry of the fluid spheres with uniform density given by Thompson and Whitrow (Mon. Notes Roy. Astron. Soc.; 136: 207(1967)), and others, is conformally flat, and hence the space-time is of class one. (auth)

• Research Organization: South Gujarat Univ., Surat, India
• NSA Number: NSA-29-017537
• OSTI ID: 4355021
• Journal Information: Gen. Relativity Gravitation, v. 4, no. 5, pp. 351-355, Journal Name: Gen. Relativity Gravitation, v. 4, no. 5, pp. 351-355; ISSN GRGVA
• Country of Publication: United Kingdom
• Language: English

Related Subjects

*GENERAL RELATIVITY THEORY-- FLUIDS
COSMOLOGICAL MODELS
DENSITY
GEOMETRY
GRAVITATIONAL FIELDS
ISOTROPY
N76300* --Physics (Theoretical)--Gravitation & General Relativity
SINGULARITY
SPACE-TIME
SPATIAL DISTRIBUTION
SPHERES
SPHERICAL CONFIGURATION