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We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We present a new class of 3D black hole initial data sets for numerical relativity. These data sets go beyond the axisymmetric, ``gravity wave plus rotating black hole'' single black hole data sets by creating a dynamic, distorted hole with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. R. Brandt , K. Camarda , E. Seidel

We propose a new approach, based on the puncture method, to construct black hole initial data in the so-called trumpet geometry, i.e. on slices that asymptote to a limiting surface of non-zero areal radius. Our approach is easy to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-20 Jason D. Immerman , Thomas W. Baumgarte

The signal-to-noise ratios (SNRs) for quasi-circular binary black hole inspirals computed from restricted post-Newtonian waveforms are compared with those attained by more complete post-Newtonian signals, which are superpositions of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck

Dynamical black holes in the non-perturbative regime are not mathematically well understood. Studying approximate symmetries of spacetimes describing dynamical black holes gives an insight into their structure. Utilising the property that…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Robert Sansom , Juan A. Valiente Kroon

We show the results of dynamical simulations of the coalescence of black hole-neutron star binaries. We use a Newtonian Smooth Particle Hydrodynamics code, and include the effects of gravitational radiation back reaction with the quadrupole…

Astrophysics · Physics 2009-11-06 William H. Lee

The Misner initial value solution for two momentarily stationary black holes has been the focus of much numerical study. We report here analytic results for an astrophysically similar initial solution, that of Brill and Lindquist (BL).…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. M. Abrahams , R. H. Price

The mergers of black hole-neutron star binaries are calcuated using a pseudo-general relativistic potential that incorporates ${\mathcal O}(v^2/c^2)^3$ post-Newtonian corrections. Both normal matter neutron stars and self-bound strange…

Astrophysics · Physics 2009-11-10 Madappa Prakash , Sasa Ratkovic , James M. Lattimer

We present the first fully-nonlinear numerical study of the dynamics of highly spinning black-hole binaries. We evolve binaries from quasicircular orbits (as inferred from Post-Newtonian theory), and find that the last stages of the orbital…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Campanelli , C. O. Lousto , Y. Zlochower

Can one distinguish a binary black hole undergoing a merger from a binary neutron star if the individual compact companions have masses that fall inside the so-called mass gap of $3-5\ M_\odot$? For neutron stars, achieving such masses…

High Energy Astrophysical Phenomena · Physics 2020-02-28 Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Lunan Sun , Kōji Uryū

We review the current status of general relativistic studies for coalescences of black hole--neutron star binaries. First, high-precision computations of black hole--neutron star binaries in quasiequilibrium circular orbits are summarized,…

High Energy Astrophysical Phenomena · Physics 2021-12-21 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Thomas W. Baumgarte , Stuart L. Shapiro

In this work we have used for the first time pseudo-spectral methods to perform numerical simulations of spherically symmetric black hole formations on a Friedman-Robertson-Walker universe. With these methods, the differential equations…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Albert Escrivà

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. When the mass parameter of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio Dain

We introduce a computational framework which avoids solving explicitly hydrodynamic equations and is suitable to study the pre-merger evolution of black hole-neutron star binary systems. The essence of the method consists of constructing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos F. Sopuerta , Ulrich Sperhake , Pablo Laguna

A shortcoming of current binary black-hole initial data is the generation of spurious gravitational radiation, so-called junk radiation, when they are evolved. This problem is a consequence of an oversimplified modeling of the binary's…

General Relativity and Quantum Cosmology · Physics 2014-04-02 Tony Chu

We present a first exploration of the results of neutron star-black hole mergers using black hole masses in the most likely range of $7M_\odot-10M_\odot$, a neutrino leakage scheme, and a modeling of the neutron star material through a…

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. This family of initial data…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio Dain

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann