On characteristic initial data for a star orbiting a black hole

Abstract

We take further steps in the development of the characteristic approach to enable handling the physical problem of a compact self-gravitating object, such as a neutron star, in close orbit around a black hole. We examine different options for setting the initial data for this problem and, in order to shed light on their physical relevance, we carry out short time evolution of this data. To this end we express the matter part of the characteristic gravity code so that the hydrodynamics are in conservation form. The resulting gravity plus matter relativity code provides a starting point for more refined future efforts at longer term evolution. In the present work we find that, independently of the details of the initial gravitational data, the system quickly flushes out spurious gravitational radiation and relaxes to a quasi-equilibrium state with an approximate helical symmetry corresponding to the circular orbit of the star.

20 pages, 10 figures

References in corpus (29)

• Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole
• Merger of binary neutron stars of unequal mass in full general relativity
• High-powered Gravitational News
• Binary black holes in circular orbits. I. A global spacetime approach
• General relativistic hydrodynamics with viscosity: contraction, catastrophic collapse, and disk formation in hypermassive neutron stars
• Prospects for gravitational-wave observations of neutron-star tidal disruption in neutron-star/black-hole binaries
• The eth formalism in numerical relativity
• Deriving formulations for numerical computation of binary neutron stars in quasicircular orbits
• Mode coupling in the nonlinear response of black holes
• Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes
• Towards a Realistic Neutron Star Binary Inspiral: Initial Data and Multiple Orbit Evolution in Full General Relativity
• The incorporation of matter into characteristic numerical relativity
• Axisymmetric core collapse simulations using characteristic numerical relativity
• The ultimate outcome of black hole - neutron star mergers
• Post-Newtonian Models of Binary Neutron Stars
• Moving Black Holes in 3D
• Scalar field induced oscillations of neutron stars and gravitational collapse
• Black hole excision with matching
• Newtonian models for black hole-gaseous star close binary systems
• Gravitational waveforms with controlled accuracy
• Quasi-equilibrium Binary Black Hole Initial Data for Dynamical Evolutions
• A numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole
• Adaptive Mesh Refinement for Characteristic Codes
• Binary black hole spacetimes with a helical Killing vector
• Complete null data for a black hole collision
• Gravitational Waves from a Fissioning White Hole
• The Periodic Standing-Wave Approximation: Overview and Three Dimensional Scalar Models
• A new geometric invariant on initial data for Einstein equations
• Matching characteristic codes: exploiting two directions

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• Extraction of Gravitational Waves in Numerical Relativity
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• Characteristic Evolution and Matching
• The Dynamical Evolution of Black Hole-Neutron Star Binaries in General Relativity: Simulations of Tidal Disruption
• Characteristic Evolution and Matching
• Numerical relativity with characteristic evolution, using six angular patches
• A framework for large-scale relativistic simulations in the characteristic approach
• Scalar self-force for highly eccentric equatorial orbits in Kerr spacetime
• Learning about compact binary merger: the interplay between numerical relativity and gravitational-wave astronomy
• Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom
• Initial data transients in binary black hole evolutions
• Excitation of Kerr quasinormal modes in extreme--mass-ratio inspirals
• Current conservation, screening and the magnetic moment of the $\Delta$ resonance: 2. Formulation with quark degrees of freedom 3. Magnetic moment of the ${\Delta }^o$ and ${\Delta }^{-}$ resonances
• Mathematical general relativity: a sampler
• Gravitational radiation by point particle eccentric binary systems in the linearised characteristic formulation of general relativity
• Point Particle Binary System with Components of Different Masses in the Linear Regime of the Characteristic Formulation of General Relativity
• A Simple, Direct Finite Differencing of the Einstein Equations
• Numerical study of the Kerr solution in rotating coordinates
• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds