# New frontiers in Numerical Relativity

@article{Zilho2013NewFI, title={New frontiers in Numerical Relativity}, author={Miguel Zilh{\~a}o}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2013} }

The first attempts at solving a binary black hole spacetime date back to the 1960s, with the pioneering works of Hahn and Lindquist. In spite of all the computational advances and enormous efforts by several groups, the first stable, long-term evolution of the orbit and merger of two black holes was only accomplished over 40 years later, in 2005. Since then, the field of Numerical Relativity has matured, and been extensively used to explore and uncover a plethora of physical phenomena in…

## Figures and Tables from this paper

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## 27 Citations

Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques

- Physics
- 2016

We explore how a recently developed analytical black-hole binary spacetime can be extended using numerical simulations to go beyond the slow-inspiral phase. The analytic spacetime solves the Einstein…

Gravitational wave extraction in higher dimensional numerical relativity using the Weyl tensor

- 2019

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO’s detection of GW150914.…

Extraction of gravitational-wave energy in higher dimensional numerical relativity using the Weyl tensor

- Physics
- 2017

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO's detection of GW150914.…

Numerical relativity of compact binaries in the 21st century.

- Medicine, PhysicsReports on progress in physics. Physical Society
- 2019

With the recent dramatic discoveries of gravitational waves from merging black holes by the Laser Interferometric Gravitational Wave Observatory and Virgo, and the subsequent discovery of both electromagnetic and gravitational wave signals from a merging neutron star-neutron star binary, numerical relativity became an indispensable tool for the new field of multimessenger astronomy.

Radiation from a $D$-dimensional collision of gravitational shock waves

- Physics
- 2015

Classically, if two highly boosted particles collide head-on, a black hole is expected to form whose mass may be inferred from the gravitational radiation emitted during the collision. If this occurs…

Black holes, gravitational waves and fundamental physics: a roadmap

- PhysicsClassical and Quantum Gravity
- 2019

The grand challenges of contemporary fundamental physics—dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem—all involve gravity…

Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes

- PhysicsPhysical Review D
- 2019

Observation and characterisation of gravitational waves from binary black holes requires accurate knowledge of the expected waveforms. The late inspiral and merger phase of the waveform is obtained…

Dimensional reduction in numerical relativity: Modified cartoon formalism and regularization

- Physics
- 2016

We present in detail the Einstein equations in the Baumgarte-Shapiro-Shibata-Nakamura formulation for the case of $D$ dimensional spacetimes with $SO(D-d)$ isometry based on a method originally…

Evolution of the Magnetized, Neutrino-Cooled Accretion Disk in the Aftermath of a Black Hole Neutron Star Binary Merger

- Physics
- 2017

Black hole-torus systems from compact binary mergers are possible engines for gamma-ray bursts (GRBs). During the early evolution of the post-merger remnant, the state of the torus is determined by a…

Improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors

- Physics
- 2017

We improve the accuracy of the effective-one-body (EOB) waveforms that were employed during the first observing run of Advanced LIGO for binaries of spinning, nonprecessing black holes by calibrating…

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