Formation of naked singularities in five-dimensional space-time

Journal Article · Tue Mar 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.064006· OSTI ID:21537526

Yamada, Yuta ^[1]; Shinkai, Hisa-aki ^[1]

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1. Faculty of Information Science and Technology, Osaka Institute of Technology, 1-79-1 Kitayama, Hirakata, Osaka 573-0196 (Japan)

We numerically investigate the gravitational collapse of collisionless particles in spheroidal configurations both in four- and five-dimensional (5D) space-time. We repeat the simulation performed by Shapiro and Teukolsky (1991) that announced an appearance of a naked singularity, and also find similar results in the 5D version. That is, in a collapse of a highly prolate spindle, the Kretschmann invariant blows up outside the matter and no apparent horizon forms. We also find that the collapses in 5D proceed more rapidly than in 4D, and the critical prolateness for the appearance of an apparent horizon in 5D is loosened, compared to 4D cases. We also show how collapses differ with spatial symmetries comparing 5D evolutions in single-axisymmetry, SO(3), and those in double-axisymmetry, U(1)xU(1).

• OSTI ID: 21537526
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLLISIONS
CONFIGURATION
EVOLUTION
GRAVITATIONAL COLLAPSE
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
PARTICLES
SIMULATION
SINGULARITY
SO GROUPS
SO-3 GROUPS
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS