Computer Science
Scientific paper
Jul 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..805k&link_type=abstract
General Relativity and Gravitation, Volume 28, Issue 7, pp.805-832
Computer Science
3
Scientific paper
We use the ghp formalism to obtain perfect fluid space-times with a two-dimensional and orthogonally transitive group of proper homothetic motionsH 2, with the additional condition that the four-velocity of the fluid either lies on the group orbits or is orthogonal to them. In the first case the orbits of theH 2 are timelike and all possible solutions are explicitly given. They comprise (i) space-times of Petrov type I that admit a groupH 3 containing two hypersurface orthogonal and commuting Killing vectors (when theH 2 is abelian, the fluid has a stiff equation of state and the space-time is of type D), and (ii) a class of type D static space-times with a maximalH 2 in which the two-spaces orthogonal to the group orbits have constant curvature. When the orbits of theH 2 are spacelike, the fluid is necessarily stiff and different classes of solutions admitting maximalH 2 andH 3 are identified.
Griffiths Jerry B.
Kolassis Ch.
No associations
LandOfFree
Perfect Fluid Space-times with a Two-dimensional Orthogonally - Transitive Group of Homothetic Motions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Perfect Fluid Space-times with a Two-dimensional Orthogonally - Transitive Group of Homothetic Motions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perfect Fluid Space-times with a Two-dimensional Orthogonally - Transitive Group of Homothetic Motions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1117504