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Expanding perfect fluid generalizations of the C metric

Lode Wylleman (UGent) and David Beke (UGent)
(2010) PHYSICAL REVIEW D. 81(10).
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Abstract
Petrov type D gravitational fields, generated by a perfect fluid with spatially homogeneous energy density and with flow lines which form a nonshearing and nonrotating timelike congruence, are reexamined. It turns out that the anisotropic such spacetimes, which comprise the vacuum C metric as a limit case, can have nonzero expansion, contrary to the conclusion in the original investigation by Barnes [A. Barnes, Gen. Relativ. Gravit. 4, 105 (1973).]. Apart from the static members, this class consists of cosmological models with precisely one symmetry. The general line element is constructed and some important properties are discussed. It is also shown that purely electric Petrov type D vacuum spacetimes admit shear-free normal timelike congruences everywhere, even in the nonstatic regions. This result incited to deduce intrinsic, easily testable criteria regarding shear-free normality and staticity of Petrov type D spacetimes in general, which are added in an appendix.
Keywords
GENERAL-RELATIVITY, COSMOLOGICAL CONSTANT, NULL GEODESIC SEPARABILITY, FIELD-EQUATIONS, SPACE-TIMES, D VACUUM, TETRAD FORMALISMS, ORTHOGONAL TRANSITIVITY, COVARIANT DETERMINATION, BLACK-HOLES

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Citation

Please use this url to cite or link to this publication:

Chicago
Wylleman, Lode, and David Beke. 2010. “Expanding Perfect Fluid Generalizations of the C Metric.” Physical Review D 81 (10).
APA
Wylleman, L., & Beke, D. (2010). Expanding perfect fluid generalizations of the C metric. PHYSICAL REVIEW D, 81(10).
Vancouver
1.
Wylleman L, Beke D. Expanding perfect fluid generalizations of the C metric. PHYSICAL REVIEW D. 2010;81(10).
MLA
Wylleman, Lode, and David Beke. “Expanding Perfect Fluid Generalizations of the C Metric.” PHYSICAL REVIEW D 81.10 (2010): n. pag. Print.
@article{998208,
  abstract     = {Petrov type D gravitational fields, generated by a perfect fluid with spatially homogeneous energy density and with flow lines which form a nonshearing and nonrotating timelike congruence, are reexamined. It turns out that the anisotropic such spacetimes, which comprise the vacuum C metric as a limit case, can have nonzero expansion, contrary to the conclusion in the original investigation by Barnes [A. Barnes, Gen. Relativ. Gravit. 4, 105 (1973).]. Apart from the static members, this class consists of cosmological models with precisely one symmetry. The general line element is constructed and some important properties are discussed. It is also shown that purely electric Petrov type D vacuum spacetimes admit shear-free normal timelike congruences everywhere, even in the nonstatic regions. This result incited to deduce intrinsic, easily testable criteria regarding shear-free normality and staticity of Petrov type D spacetimes in general, which are added in an appendix.},
  articleno    = {104038},
  author       = {Wylleman, Lode and Beke, David},
  issn         = {1550-7998},
  journal      = {PHYSICAL REVIEW D},
  keywords     = {GENERAL-RELATIVITY,COSMOLOGICAL CONSTANT,NULL GEODESIC SEPARABILITY,FIELD-EQUATIONS,SPACE-TIMES,D VACUUM,TETRAD FORMALISMS,ORTHOGONAL TRANSITIVITY,COVARIANT DETERMINATION,BLACK-HOLES},
  language     = {eng},
  number       = {10},
  pages        = {17},
  title        = {Expanding perfect fluid generalizations of the C metric},
  url          = {http://dx.doi.org/10.1103/PhysRevD.81.104038},
  volume       = {81},
  year         = {2010},
}

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