×

Some exact inhomogeneous solutions of Einstein’s equations with symmetries on the hypersurfaces \(t=const\). (English) Zbl 0597.76127

The method of ”intrinsic symmetries” is applied to obtain some exact inhomogeneous solutions of Einstein’s equation. A perfect fluid with flow-lines orthogonal to the hyperfaces \(t=const\) is assumed as source of gravitational field. A family of analytical solutions is obtained representing perfect fluid without expansion and shear-free and also a vacuum with cosmological constant.
Reviewer: Z.F.Seidov

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1007/BF00756756 · Zbl 0423.53022 · doi:10.1007/BF00756756
[2] DOI: 10.1063/1.524017 · doi:10.1063/1.524017
[3] DOI: 10.1007/BF00756363 · doi:10.1007/BF00756363
[4] DOI: 10.1063/1.526568 · doi:10.1063/1.526568
[5] DOI: 10.1088/0305-4470/14/5/033 · doi:10.1088/0305-4470/14/5/033
[6] DOI: 10.1007/BF00759860 · Zbl 0412.35088 · doi:10.1007/BF00759860
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.