Subsolar strange star mergers produce a lower post-merger-to-cutoff GW frequency ratio than neutron star mergers, cleanly separating the two classes across equations of state and mass ratios.
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On the Numerical Integration of Einstein's Field Equations
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abstract
Many numerical codes now under development to solve Einstein's equations of general relativity in 3+1 dimensional spacetimes employ the standard ADM form of the field equations. This form involves evolution equations for the raw spatial metric and extrinsic curvature tensors. Following Shibata and Nakamura, we modify these equations by factoring out the conformal factor and introducing three ``connection functions''. The evolution equations can then be reduced to wave equations for the conformal metric components, which are coupled to evolution equations for the connection functions. We evolve small amplitude gravitational waves and make a direct comparison of the numerical performance of the modified equations with the standard ADM equations. We find that the modified form exhibits much improved stability.
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representative citing papers
The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.
Numerical simulations of equal-mass boson-star mergers reveal larger waveform deviations from black-hole binaries in late inspiral and merger, plus odd multipole excitations for certain scalar-field phases, with some signals degenerate until IMR consistency tests are applied.
In asymptotically flat spacetimes, a localized inflaton fluctuation requires a proper size of at least ~2.5 times the inflationary scale to successfully seed inflation, generalizing the Goldwirth-Piran result.
Numerical relativity in the decoupling limit reveals dynamical scalarization and spin-induced (de)scalarization during hyperbolic black hole encounters for both signs of the coupling.
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
High-resolution GR neutrino-radiation MHD simulation of 1.35-1.35 Msun BNS merger shows KHI-driven B-field amplification to magnetar levels (~10^50 erg, factor >=316) in 3 ms post-merger.
Head-on black-hole mergers next to a companion show Doppler- and redshift-shifted ringdown, lensing magnification behind the lens, and delayed echo images, with only tentative signs of resonant mode excitation.
A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.
Scattering black holes gain spin and mass by absorbing emitted gravitational radiation, with spin-up up to 0.3 and mass gain up to 15% in near-threshold encounters.
Fits to numerical relativity data indicate that leading-order post-Newtonian dependence on mass ratio persists in several modes of binary black hole mergers through the merger, while low-degree polynomials capture deviations in higher modes.
Numerical simulations of black hole-boson star binaries show that scalar self-interactions can suppress tidal disruption while radiative efficiency depends on the chosen potential.
Bulk viscosity raises the critical collapse threshold for primordial black holes by an amount comparable to the viscosity strength and increases the resulting black hole masses.
Head-on binary black hole simulations in EMDA theory show dilaton and axion fields persist through merger, indicating nonlinear stability of Kerr-Sen black holes and scalarization of initially unscalarized solutions.
A grid-based multi-grid Poisson solver is implemented in numerical relativity, tested on puncture black holes and neutron stars, and used in a neutrino-radiation hydrodynamics simulation of 9 solar mass star collapse up to core bounce with high conservation accuracy.
Numerical relativity solved the general-relativistic two-body problem in the mid-2000s, supplying the waveform models that enabled LIGO's first gravitational-wave detections.
Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.
citing papers explorer
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Subsolar-mass binary mergers of strange stars and neutron stars: gravitational waves and ejecta
Subsolar strange star mergers produce a lower post-merger-to-cutoff GW frequency ratio than neutron star mergers, cleanly separating the two classes across equations of state and mass ratios.
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Hyperbolicity analysis of the linearised 3+1 formulation in the Teleparallel Equivalent of General Relativity
The linearized 3+1 TEGR system has imaginary eigenvalues in its principal symbol but becomes strongly hyperbolic after gauge fixing isolated problematic sectors.
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Lessons from binary dynamics of inspiralling equal-mass boson-star mergers
Numerical simulations of equal-mass boson-star mergers reveal larger waveform deviations from black-hole binaries in late inspiral and merger, plus odd multipole excitations for certain scalar-field phases, with some signals degenerate until IMR consistency tests are applied.
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Starting inflation in asymptotically flat spacetimes
In asymptotically flat spacetimes, a localized inflaton fluctuation requires a proper size of at least ~2.5 times the inflationary scale to successfully seed inflation, generalizing the Goldwirth-Piran result.
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Scalarization and descalarization in hyperbolic encounters of black holes
Numerical relativity in the decoupling limit reveals dynamical scalarization and spin-induced (de)scalarization during hyperbolic black hole encounters for both signs of the coupling.
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Binary Black Hole Coalescence and the Dynamics of Scalar Hair in Einstein-Maxwell-Scalar Theory
Head-on charged black hole mergers in Einstein-Maxwell-scalar theory can leave a scalarized remnant or dynamically lose scalar hair, depending on coupling strength and remnant charge.
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A magnetar formation in binary neutron star merger
High-resolution GR neutrino-radiation MHD simulation of 1.35-1.35 Msun BNS merger shows KHI-driven B-field amplification to magnetar levels (~10^50 erg, factor >=316) in 3 ms post-merger.
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Ringdown and lensing of triple systems
Head-on black-hole mergers next to a companion show Doppler- and redshift-shifted ringdown, lensing magnification behind the lens, and delayed echo images, with only tentative signs of resonant mode excitation.
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Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism
A shear-free locally FLRW lattice framework for single-field inflation captures spatially varying expansion, curvature corrections, and nonlinear δN observables at a fraction of the cost of full numerical relativity.
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Spin-up and mass-gain in hyperbolic encounters of spinning black holes
Scattering black holes gain spin and mass by absorbing emitted gravitational radiation, with spin-up up to 0.3 and mass gain up to 15% in near-threshold encounters.
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Persistence of post-Newtonian amplitude structure in binary black hole mergers
Fits to numerical relativity data indicate that leading-order post-Newtonian dependence on mass ratio persists in several modes of binary black hole mergers through the merger, while low-degree polynomials capture deviations in higher modes.
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Black Hole-Boson Star Binaries: Gravitational Wave Signals and Tidal Disruption
Numerical simulations of black hole-boson star binaries show that scalar self-interactions can suppress tidal disruption while radiative efficiency depends on the chosen potential.
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Primordial black hole formation in bulk-viscous cosmology
Bulk viscosity raises the critical collapse threshold for primordial black holes by an amount comparable to the viscosity strength and increases the resulting black hole masses.
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Nonlinear Stability of Kerr-Sen Black Holes in Merging Binaries
Head-on binary black hole simulations in EMDA theory show dilaton and axion fields persist through merger, indicating nonlinear stability of Kerr-Sen black holes and scalarization of initially unscalarized solutions.
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Implementation of multi-grid Poisson solver in numerical relativity and its application to gravitational collapse of massive star
A grid-based multi-grid Poisson solver is implemented in numerical relativity, tested on puncture black holes and neutron stars, and used in a neutrino-radiation hydrodynamics simulation of 9 solar mass star collapse up to core bounce with high conservation accuracy.
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The Era of Precision in Computational Models of Gravitational Waves
Numerical relativity solved the general-relativistic two-body problem in the mid-2000s, supplying the waveform models that enabled LIGO's first gravitational-wave detections.
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Dynamical Boson Stars
Boson stars are particle-like solutions in general relativity that model dark matter, black hole mimickers, and binary systems.
- Critical collapse of vacuum spacetimes: Nakamura wave initial data
- Boson star-black hole binaries: initial data and head-on collisions