ISOTHERMAL FLUID SPHERE - UNIQUENESS AND CONFORMAL MAPPING

Authors
Citation
N. Dadhich, ISOTHERMAL FLUID SPHERE - UNIQUENESS AND CONFORMAL MAPPING, Pramana, 49(4), 1997, pp. 417-420
Citations number
10
Categorie Soggetti
Physics
Journal title
ISSN journal
03044289
Volume
49
Issue
4
Year of publication
1997
Pages
417 - 420
Database
ISI
SICI code
0304-4289(1997)49:4<417:IFS-UA>2.0.ZU;2-B
Abstract
We prove the theorem: A necessary and sufficient condition for a space time to represent an isothermal fluid sphere (linear equation of state with density falling off as inverse square of the curvature radius) w ithout boundary is that it is conformal to a spacetime of zero gravita tional mass ('minimally' curved).