: A Mathematica package for exact computations in bimetric relativity
arXiv:1904.10464 · doi:10.1016/j.cpc.2019.106948
Abstract
We present , a Mathematica package for exact computations in 31 bimetric relativity. It is based on the bundle, which can handle computations involving both abstract tensors and their components. In this communication, we refer to the latter case as concrete computations. The package consists of two main parts. The first part involves the abstract tensors, and focuses on how to deal with multiple metrics in . The second part takes an ansatz for the primary variables in a chart as the input, and returns the covariant BSSN bimetric equations in components in that chart. Several functions are implemented to make this process as fast and user-friendly as possible. The package has been used and tested extensively in spherical symmetry and was the workhorse in obtaining the bimetric covariant BSSN equations and reproducing the bimetric 31 equations in the spherical polar chart.
arXiv comment9 pages. It matches with the published version. GitHub repository at https://github.com/nubirel/bimEX. Program files doi: http://dx.doi.org/10.17632/2s5d7csc9w.1
References in corpus (22)
- The Dynamics of General Relativity
- On the Numerical Integration of Einstein's Field Equations
- Bimetric Gravity from Ghost-free Massive Gravity
- Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
- Cosmological Solutions in Bimetric Gravity and their Observational Tests
- Recent developments in bimetric theory
- On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
- Covariant formulations of BSSN and the standard gauge
- Hairy black holes in the ghost-free bigravity theory
- Spherically Symmetric Solutions in Ghost-Free Massive Gravity
- A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities
- Black holes with massive graviton hair
- Hyperbolicity of the BSSN system of Einstein evolution equations
- On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
- Particular Solutions in Bimetric Theory and Their Implications
- On the local structure of spacetime in ghost-free bimetric theory and massive gravity
- Analysis of constraints and their algebra in bimetric theory
- Beginnings of the Cauchy problem
- Geometric mean of bimetric spacetimes
- Classification and asymptotic structure of black holes in bimetric theory
- Algebraic Properties of Einstein Solutions in Ghost-Free Bimetric Theory
- On Birkhoff's theorem in ghost-free bimetric theory