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Isotropic extensions of the vacuum solutions in general relativity
Isotropic extensions of the vacuum solutions in general relativity
2011/10/17
In this work we obtain isotropic extensions of the usual spherically symmetric vacuum geometries in general relativity. Exact and perturbative solutions are derived. The classes of geometries obtained...
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
non-unitary link variable Connes' distance formula vacuum solution
noncommutative geometry cyclic group
2007/8/15
2002Vol.37No.1pp.11-14DOI:
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
DAI Jian and SONG Xing-Chang
Institute of Theoretical Phys...
Remarks on Some Vacuum Solutions of Scalar-Tensor Cosmological Models
Vacuum Solutions Scalar-Tensor Cosmological Models
2010/10/21
We present a class of exact vacuum solutions corresponding to de Sitter and warm inflation models in the framework of scalar-tensor cosmologies. We show that in both cases the field equations reduce t...
On stationary vacuum solutions to the Einstein equations
stationary vacuum the Einstein equations
2010/11/2
It is proved that the only geodesically complete stationary vacuum solution of the Einstein equations is the empty Minkowski space, or a quotient of it by a discrete group of isometries, generalizing ...