A new class of asymptotically non-chaotic vacuum singularities

Journal Article · Tue Dec 15 00:00:00 EST 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.09.010· OSTI ID:22560273

Klinger, Paul

The BKL conjecture, stated in the 1960s and early 1970s by Belinski, Khalatnikov and Lifschitz, proposes a detailed description of the generic asymptotic dynamics of spacetimes as they approach a spacelike singularity. It predicts complicated chaotic behaviour in the generic case, but simpler non-chaotic one in cases with symmetry assumptions or certain kinds of matter fields. Here we construct a new class of four-dimensional vacuum spacetimes containing spacelike singularities which show non-chaotic behaviour. In contrast with previous constructions, no symmetry assumptions are made. Rather, the metric is decomposed in Iwasawa variables and conditions on the asymptotic evolution of some of them are imposed. The constructed solutions contain five free functions of all space coordinates, two of which are constrained by inequalities. We investigate continuous and discrete isometries and compare the solutions to previous constructions. Finally, we give the asymptotic behaviour of the metric components and curvature.

• OSTI ID: 22560273
• Journal Information: Annals of Physics, Vol. 363, Issue Complete; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASYMPTOTIC SOLUTIONS
CHAOS THEORY
COMPARATIVE EVALUATIONS
COORDINATES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
GENERAL RELATIVITY THEORY
METRICS
SINGULARITY
SPACE-TIME
SYMMETRY