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Numerical Relativity in Spherical Polar Coordinates: Evolution Calculations with the BSSN Formulation
Thomas W. Baumgarte, Pedro J. Montero, Isabel Cordero-Carrión +1
In the absence of symmetry assumptions most numerical relativity simulations adopt Cartesian coordinates. While Cartesian coordinates have some desirable properties, spherical pola…
Invariants for Tendex and Vortex Fields
Kenneth A. Dennison, Thomas W. Baumgarte
Tendex and vortex fields, defined by the eigenvectors and eigenvalues of the electric and magnetic parts of the Weyl curvature tensor, form the basis of a recently developed approa…
Analytical Tendex and Vortex Fields for Perturbative Black Hole Initial Data
Kenneth A. Dennison, Thomas W. Baumgarte
Tendex and vortex fields, defined by the eigenvectors and eigenvalues of the electric and magnetic parts of the Weyl curvature tensor, form the basis of a recently developed approa…
Gravity darkening and brightening in binaries
Helen E. White, Thomas W. Baumgarte, Stuart L. Shapiro
We apply a von Zeipel gravity darkening model to corotating binaries to obtain a simple, analytical expression for the emergent radiative flux from a tidally distorted primary orbi…
An alternative approach to solving the Hamiltonian constraint
Thomas W. Baumgarte
Solving Einstein's constraint equations for the construction of black hole initial data requires handling the black hole singularity. Typically, this is done either with the excisi…