Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime
Sign Up to like & getrecommendations! Published in 2025 at "General Relativity and Gravitation"
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
A System of Axioms for Minkowski Spacetime
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DOI: 10.1007/s10992-020-09565-6
Abstract: We present an elementary system of axioms for the geometry of Minkowski spacetime. It strikes a balance between a simple and streamlined set of axioms and the attempt to give a direct formalization in first-order… read more here.
Keywords: axioms minkowski; minkowski spacetime; system; system axioms ... See more keywords
On Fermi-Walker transformation for timelike flows in spacetime
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104353
Abstract: Abstract In this manuscript, we firstly suggest different type for Fermi-Walker transportations along with flow lines of a non-vanishing vector field in Minkowski spacetime. Moreover, we construct the evolution equations of Frenet fields by Fermi-Walker… read more here.
Keywords: transformation timelike; minkowski spacetime; walker; timelike flows ... See more keywords
Embedding causal sets into Minkowski Spacetime
Sign Up to like & getrecommendations! Published in 2022 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ac5922
Abstract: We present a new method for embedding a causal set into an interval of Minkowski spacetime. The method uses spacetime volumes for causally related elements to define causal set analogs of Minkowski inner products. These… read more here.
Keywords: embedding causal; minkowski spacetime; causal set; causal sets ... See more keywords
κ-general-relativity I: a non-commutative GR theory with the κ-Minkowski spacetime as its flat limit
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DOI: 10.1088/1361-6382/adffdf
Abstract: We employ a twist deformation of infinitesimal diffeomorphisms to construct a modification of general relativity on a non-commutative spacetime extending the local κ-Minkowski geometry. This spacetime arises in deformed special relativity (DSR) models, where a… read more here.
Keywords: minkowski spacetime; relativity; general relativity; non commutative ... See more keywords
Simpler embeddings of causal sets into Minkowski spacetime
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review D"
DOI: 10.1103/physrevd.111.106020
Abstract: We present a new method for embedding a causal set into Minkowski spacetime. The method is similar to a previously presented method, but is simpler and provides better embedding results. The method uses spacetime volumes… read more here.
Keywords: minkowski spacetime; embeddings causal; causal sets; spatial distances ... See more keywords