\texttt{bimEX}: a Mathematica package for exact computations in \(3 + 1\) bimetric relativity

DOI10.1016/j.cpc.2019.106948OpenAlexW2975086773MaRDI QIDQ2698807

Francesco Torsello

Publication date: 25 April 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10464

zbMATH Keywords

bimetric relativityBSSN\( 3 + 1\) formulationbimexHassan-Rosen bimetric theory

Mathematics Subject Classification ID

Special functions (33-XX) Relativity and gravitational theory (83-XX)

Related Items (6)

Constraints on bimetric gravity from Big Bang nucleosynthesis ⋮ On the stability of bimetric structure formation ⋮ Covariant BSSN formulation in bimetric relativity ⋮ Generalized Vaidya solutions in bimetric gravity ⋮ Constraints on bimetric gravity. Part I. Analytical constraints ⋮ Constraints on bimetric gravity. Part II. Observational constraints

Uses Software

• xAct
• bimEX

Cites Work

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• \(3+1\) formalism in general relativity. Bases of numerical relativity.
• Republication of: The dynamics of general relativity
• An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix
• Recent developments in bimetric theory
• Covariant formulations of Baumgarte, Shapiro, Shibata, and Nakamura and the standard gauge
• Evolution of three-dimensional gravitational waves: Harmonic slicing case
• The theory of gravitation in Hamiltonian form
• Fixation of Coordinates in the Hamiltonian Theory of Gravitation
• Clifford Algebras and Lie Theory
• The mean gauges in bimetric relativity
• Covariant BSSN formulation in bimetric relativity
• Geometric mean of bimetric spacetimes
• Algebraic properties of Einstein solutions in ghost-free bimetric theory
• Lie Groups, Lie Algebras, and Representations
• Particular solutions in bimetric theory and their implications

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