Robinson–Trautman solutions to Einstein’s equations
Sign Up to like & getrecommendations! Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-017-2195-x
Abstract: Solutions to Einstein’s equations in the form of a Robinson–Trautman metric are presented. In particular, we derive a pure radiation solution which is non-stationary and involves a mass m, The resulting spacetime is of Petrov… read more here.
Keywords: trautman solutions; einstein equations; solutions einstein; robinson trautman ... See more keywords
The Linet–Tian metrics are a restricted set of Krasiński’s solutions of Einstein’s field equations for a rotating perfect fluid
Sign Up to like & getrecommendations! Published in 2021 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac33be
Abstract: In this note we show that the Linet–Tian family of solutions of the vacuum Einstein equations with a cosmological constant are a restricted set of the solutions of the Einstein field equations for a rotating… read more here.
Keywords: einstein field; restricted set; field equations; linet tian ... See more keywords
Solutions of the Einstein field equations for a bounded and finite discontinuous source, and its generalization: Metric matching conditions and jumping effects
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.100.064045
Abstract: We consider the metrics of the General Relativity, whose energy-momentum tensor has a bounded support where it is continuous except for a finite step across the corresponding boundary surface. As a consequence, the first derivative… read more here.
Keywords: einstein field; field equations; solutions einstein; generalization ... See more keywords
Conformally flat traveling plane wave solutions of Einstein equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887820500152
Abstract: We discuss conformally flat plane wave solutions of Einstein equations depending on the plane wave phase [Formula: see text], where [Formula: see text] is the conformal time. We show that ideal fluid Einstein equations and… read more here.
Keywords: plane; einstein equations; conformally flat; plane wave ... See more keywords