Hyperboloidal neutron star and black hole initial data in spherical symmetry
arXiv:2506.05467 · doi:10.1088/1361-6382/ae05e4
Abstract
The focus of this work is on the construction of initial data including a neutron star on a hyperboloidal slice. As simplest scenario for this first step, spherical symmetry is considered together with a polytropic-like equation of state for the neutron star. Constraint-satisfying hyperboloidal initial data are obtained for a single neutron star and for a combination of neutron star with a black hole in its center. To the author's best knowledge this is the first time that full hyperboloidal slices of a neutron star spacetime are constructed. The obtained initial data are suitable for evolutions of the Einstein and relativistic hydrodynamic equations on hyperboloidal slices.
17 pages, 18 figures
References in corpus (45)
- Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
- Gravitational wave extraction from an inspiraling configuration of merging black holes
- On the Numerical Integration of Einstein's Field Equations
- Relativistic tidal properties of neutron stars
- Constraints on a phenomenologically parameterized neutron-star equation of state
- Core-collapse supernova equations of state based on neutron star observations
- A simple construction of initial data for multiple black holes
- Conformal ``thin sandwich'' data for the initial-value problem of general relativity
- Constraint violation in free evolution schemes: comparing BSSNOK with a conformal decomposition of Z4
- Extrinsic Curvature and the Einstein Constraints
- General-covariant evolution formalism for Numerical Relativity
- Evolving black hole-neutron star binaries in general relativity using pseudospectral and finite difference methods
- Unified treatment of sub-saturation stellar matter at zero and finite temperature
- Hyperboloidal foliations and scri-fixing
- Geometry and Regularity of Moving Punctures
- Simulating binary neutron stars: dynamics and gravitational waves
- Towards a Singularity-Proof Scheme in Numerical Relativity
- Covariant formulations of BSSN and the standard gauge
- General Relativistic Models of Binary Neutron Stars in Quasiequilibrium
- Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation
- A Parametrized Equation of State for Neutron Star Matter with Continuous Sound Speed
- Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
- Where do moving punctures go?
- Hyperboloidal layers for hyperbolic equations on unbounded domains
- Hyperboloidal evolution with the Einstein equations
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields
- Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
- Gravitational-Wave Extraction from Neutron Star Oscillations: comparing linear and nonlinear techniques
- Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
- How far away is far enough for extracting numerical waveforms, and how much do they depend on the extraction method?
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution
- Accretion onto a small black hole at the center of a neutron star
- Black hole initial data on hyperboloidal slices
- Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests
- Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions
- Constant Crunch Coordinates for Black Hole Simulations
- Initial Data for General Relativity with Toroidal Conformal Symmetry
- Initial data for perturbed Kerr black holes on hyperboloidal slices
- Spherically symmetric black hole spacetimes on hyperboloidal slices
- Axisymmetric constant mean curvature slices in the Kerr space-time
- Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
- Height-function-based 4D reference metrics for hyperboloidal evolution
- Conformal diagrams for stationary and dynamical strong-field hyperboloidal slices
- Free Hyperboloidal Evolution of the Einstein-Maxwell-Klein-Gordon System