Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
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DOI: 10.1007/s10714-025-03415-z
Abstract: Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspond to the linearisation of a second order metric formulation of… read more here.
Keywords: conformal einstein; minkowski spacetime; numerical evolutions; einstein field ... 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
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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
On fractional and fractal Einstein’s field equations
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DOI: 10.1142/s0217732321500309
Abstract: In this study, Einstein’s field equations are derived based on two dissimilar frameworks: the first is based on the concepts of “fractional velocity” and “fractal action” motivated by Calcagni’s ap... read more here.
Keywords: fractional fractal; einstein field; fractal einstein; field equations ... See more keywords
Some anisotropic and perfect fluid plane symmetric solutions of Einstein's field equations using killing symmetries
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DOI: 10.1515/phys-2025-0206
Abstract: The Einstein’s field equations (EFEs), central to the theory of general relativity, often require spacetime symmetries such as those defined by Killing vector fields to simplify their solutions and derive physically meaningful results. Killing vector… read more here.
Keywords: plane symmetric; vector fields; field equations; einstein field ... See more keywords