Sigbjørn Hervik 2003 Class. Quantum Grav. 20 4315 doi:10.1088/0264-9381/20/19/312
Sigbjørn Hervik
Show affiliationsIn this paper, we derive homogeneous vacuum plane-wave solutions to Einstein's field equations in 4+1 dimensions. The solutions come in five different types of which three generalize the vacuum plane-wave solutions in 3+1 dimensions to the (4+1)-dimensional case. By doing a Kaluza–Klein reduction we obtain solutions to the Einstein–Maxwell equations in 3+1 dimensions. The solutions generalize the vacuum plane-wave spacetimes of Bianchi class B to the non-vacuum case and describe spatially homogeneous spacetimes containing an extremely tilted fluid. Also, using a similar reduction we obtain (3+1)-dimensional solutions to the Einstein equations with a scalar field.
04.50.-h Higher-dimensional gravity and other theories of gravity
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 19 (7 October 2003)
Received 2 June 2003
Published 2 September 2003
Sigbjørn Hervik 2003 Class. Quantum Grav. 20 4315
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