Inhomogeneous dust collapse in 5D Einstein-Gauss-Bonnet gravity

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.024010· OSTI ID:21409074

Jhingan, S; Ghosh, Sushant G ^[1]

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1. Center for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025 (India)

We consider a Lemaitre-Tolman-Bondi type space-time in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms, and present an exact solution in closed form. It turns out that the presence of the coupling constant of the Gauss-Bonnet terms {alpha}>0 completely changes the causal structure of the singularities from the analogous general relativistic case. The gravitational collapse of inhomogeneous dust in the five-dimensional Gauss-Bonnet extended Einstein equations leads to formation of a massive, but weak, timelike singularity which is forbidden in general relativity. Interestingly, this is a counterexample to three conjectures, viz., cosmic censorship conjecture, hoop conjecture, and Seifert's conjecture.

• OSTI ID: 21409074
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
EINSTEIN FIELD EQUATIONS
ENERGY RANGE
EQUATIONS
EXACT SOLUTIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL COLLAPSE
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
RELATIVISTIC RANGE
RELATIVITY THEORY
SINGULARITY
SPACE-TIME