Conformal diagrams for the gravitational collapse of a spherically symmetric dust cloud

Journal Article · Mon Jul 12 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3473876· OSTI ID:21413480

Ortiz, Nestor; Sarbach, Olivier ^[1]

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1. Instituto de Fisica y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo Edificio C-3, Ciudad Universitaria, 58040 Morelia, Michoacan (Mexico)

We present an algorithm for the construction of conformal coordinates in the interior of a spherically symmetric, collapsing matter cloud in general relativity. This algorithm is based on the numerical integration of radial null geodesics. As an application we generate conformal diagrams for collapsing spherical dust clouds and analyze the causal structure of the resulting spacetimes.

• OSTI ID: 21413480
• Journal Information: AIP Conference Proceedings, Vol. 1256, Issue 1; Conference: 8. Mexican school on gravitation and mathematical physics, Playa del Carmen, Quintana Roo (Mexico), 6-12 Dec 2009; Other Information: DOI: 10.1063/1.3473876; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CLOUDS
CONFORMAL INVARIANCE
DUSTS
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
QUANTUM FIELD THEORY
SPACE-TIME
SPHERICAL CONFIGURATION
SYMMETRY
CONFIGURATION
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL LOGIC
RELATIVITY THEORY