Covariant BSSN formulation in bimetric relativity

DOI10.1088/1361-6382/ab56fczbMath1478.83213arXiv1904.07869OpenAlexW3098218076MaRDI QIDQ5161287

Edvard Mörtsell, Francesco Torsello, Mikica Kocic, Marcus Högås

Publication date: 29 October 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.07869

zbMATH Keywords

numerical relativitybimetric relativityHassan-Rosen bimetric theoryghost-free bimetric theoryBSSN formulation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Hyperbolic equations on manifolds (58J45) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (7)

Constraints on bimetric gravity from Big Bang nucleosynthesis ⋮ On the stability of bimetric structure formation ⋮ On the stability of covariant BSSN formulation ⋮ \texttt{bimEX}: a Mathematica package for exact computations in \(3 + 1\) bimetric relativity ⋮ Generalized Vaidya solutions in bimetric gravity ⋮ Initial data and first evolutions of dust clouds in bimetric relativity ⋮ Geometric mean of bimetric spacetimes

Uses Software

• Einstein Toolkit
• bimEX
• SENR/NRPy+

Cites Work

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• Chiral description of massive gravity
• Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity
• Special relativity
• Formulations of the \(3+1\) evolution equations in curvilinear coordinates
• Regularization of spherically symmetric evolution codes in numerical relativity
• \(3+1\) formalism in general relativity. Bases of numerical relativity.
• On the local structure of spacetime in ghost-free bimetric theory and massive gravity
• Analysis of constraints and their algebra in bimetric theory
• Null energy condition violations in bimetric gravity
• Cosmological solutions with massive gravitons in the bigravity theory
• Causal propagation of constraints in bimetric relativity in standard 3+1 form
• Bimetric gravity from ghost-free massive gravity
• Ghost-free massive gravity with a general reference metric
• FRW cosmology in ghost free massive gravity from bigravity
• \texttt{bimEX}: a Mathematica package for exact computations in \(3 + 1\) bimetric relativity
• Bimetric theory and partial masslessness with Lanczos–Lovelock terms in arbitrary dimensions
• The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics
• 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
• Numerical integration of Einstein’s field equations
• Definitions and examples of inverse and ill-posed problems
• BSSN in spherical symmetry
• On the ratio of lapses in bimetric relativity
• The mean gauges in bimetric relativity
• On couplings to matter in massive (bi-)gravity
• Algebraic properties of Einstein solutions in ghost-free bimetric theory
• Particular solutions in bimetric theory and their implications
• Comments on Bona–Massó-type slicing conditions in long-term black hole evolutions
• Introduction to 3+1 Numerical Relativity
• Hyperbolicity of second order in space systems of evolution equations
• The Large Scale Structure of Space-Time

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