Two cosmological solutions of Regge calculus

Journal Article · Fri Jan 15 00:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.306· OSTI ID:5840395

Lewis, S M

Two cosmological solutions of Regge calculus are presented which correspond to the flat Friedmann-Robertson-Walker and the Kasner solutions of general relativity. By taking advantage of the symmetries that are present, I am able to show explicitly that a limit of Regge calculus does yield Einstein's equations for these cases. The method of averaging these equations when taking limits is important, especially for the Kasner model. I display the leading error term that arises from keeping the Regge equations in discrete form rather than using their continuum limit. In particular, this work shows that for the ''Reggeized'' Friedmann model the minimum volume is a velocity-dominated singularity as in the continuum Friedmann model. However, unlike the latter, the Regge version has a nonzero minimum volume.

• Research Organization: Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• OSTI ID: 5840395
• Journal Information: Phys. Rev. D; (United States), Vol. 25:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GENERAL RELATIVITY THEORY
EINSTEIN FIELD EQUATIONS
REGGE CALCULUS
COSMOLOGY
MINKOWSKI SPACE
UNIVERSE
VECTOR FIELDS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL SPACE
SPACE
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