Linearized gravity in isotropic coordinates in the brane world

Journal Article · Sat Sep 15 00:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.64.065015· OSTI ID:40277354

Giannakis, Ioannis; Ren, Hai-cang

We solve the Einstein equations in the Randall-Sundrum framework using an isotropic ansatz for the metric and obtain an exact expression to first order in the gravitational coupling. The solution is free from metric singularities away from the source and it satisfies the Israel matching condition on a straight brane. At distances far away from the source and on the physical brane this solution coincides with the 4D Schwarzschild metric in isotropic coordinates. Furthermore, we show that the extension of the standard Schwarzschild horizon in the bulk is tubular for any diagonal form of the metric while there is no restriction for the extension of the Schwarzschild horizon in isotropic coordinates.

• Sponsoring Organization: (US)
• DOE Contract Number: FG02-91ER40651
• OSTI ID: 40277354
• Journal Information: Physical Review D, Vol. 64, Issue 6; Other Information: DOI: 10.1103/PhysRevD.64.065015; Othernumber: PRVDAQ000064000006065015000001; 059118PRD; PBD: 15 Sep 2001; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
METRICS
SCHWARZSCHILD METRIC
ISOTROPY