• Corpus ID: 119250034

New frontiers in Numerical Relativity

  title={New frontiers in Numerical Relativity},
  author={Miguel Zilh{\~a}o},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • M. Zilhão
  • Published 8 January 2013
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
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… 
Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques
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
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
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.
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
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
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
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
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
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
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


Three-dimensional numerical relativity: The evolution of black holes.
It is shown how special treatment of the conformal factor can lead to more accurate evolution, and techniques to handle black hole spacetimes in the absence of symmetries are discussed, which can prevent the development of large gradients in the metric functions that result from singularity avoiding time slicings.
Higher-dimensional numerical relativity: Formulation and code tests
We derive a formalism of numerical relativity for higher-dimensional spacetimes and develop numerical codes for simulating a wide variety of five-dimensional (5D) spacetimes for the first time.
Collision of two black holes: Theoretical framework
Highly nonspherical time-dependent collisions between black holes may be powerful sources of gravitational radiation. We consider various attempts at estimating the efficiency of the generation of
Numerical relativity for D dimensional axially symmetric space-times: Formalism and code tests
The numerical evolution of Einstein’s field equations in a generic background has the potential to answer a variety of important questions in physics: from applications to the gauge-gravity duality,
Numerical relativity for D dimensional space-times: Head-on collisions of black holes and gravitational wave extraction
Higher dimensional black holes play an exciting role in fundamental physics, such as high energy physics. In this paper, we use the formalism and numerical code reported in [1] to study the head-on
A new approach to static numerical relativity and its application to Kaluza–Klein black holes
We propose a framework for solving the Einstein equation for static and Euclidean metrics. First, we address the issue of gauge-fixing by borrowing from the Ricci-flow literature the so-called
A Simple Construction of Initial Data for Multiple Black Holes
Binary black hole spacetimes are one of the great challenges for numerical general relativity, even if no matter sources are present. Here we consider the problem of finding initial data for several
Collisions of unequal mass black holes and the point particle limit
Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational wave research and relativistic
Introduction to 3+1 Numerical Relativity
This is the first major textbook on the methods of numerical relativity. The selection of material is based on what is known to work reliably in astrophysical applications and would therefore be
Simulation of asymptotically AdS5 spacetimes with a generalized harmonic evolution scheme
Motivated by the gauge/gravity duality, we introduce a numerical scheme based on generalized harmonic evolution to solve the Einstein field equations on asymptotically anti-de Sitter (AdS)