Numerical Relativity and the Discovery of Gravitational Waves

@article{Eisenstein2019NumericalRA,
  title={Numerical Relativity and the Discovery of Gravitational Waves},
  author={Robert A. Eisenstein},
  journal={Annalen der Physik},
  year={2019},
  volume={531}
}
Solving Einstein's equations precisely for strong‐field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for initial and final‐state system parameters. Obtaining these solutions requires extensive numerical simulations, as Einstein's equations governing these systems are much too difficult to solve analytically. These difficulties arise principally from the curved, non… 
Computational techniques for parameter estimation of gravitational wave signals
Since the very first detection of gravitational waves from the coalescence of two black holes in 2015, Bayesian statistical methods have been routinely applied by LIGO and Virgo to extract the signal
Testing gravity with the two-body problem.
Gravitational waves provide a new probe into the strong-field regime of gravity. It is thus essential to identify the predictions of General Relativity on the nature of the two-body problem, and to
Gravitational waves and new gravitational astronomy
This project is aimed to provide the reader a guide to introduce oneself to the field of gravitational waves (GWs): it gives a global vision of the essential subjects concerning them to understand
First post-Newtonian generation of gravitational waves in Einstein-Cartan theory
1 Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany 2 Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II,

References

SHOWING 1-10 OF 183 REFERENCES
Extraction of gravitational waves in numerical relativity
TLDR
A number of methods have been developed over the years to “extract” the radiative part of the solution from a numerical simulation and these include: quadrupole formulas, gauge-invariant metric perturbations, Weyl scalars, and characteristic extraction.
Numerical Relativity
Solutions to Einstein’s equations of general relativity describe, among other things, the generation and propagation of gravitational waves. Interest in numerical relativity has been bolstered by the
Numerical Relativity and Astrophysics
Throughout the Universe many powerful events are driven by strong gravitational effects that require general relativity to fully describe them. These include compact binary mergers, black hole
BOOK REVIEW: Numerical Relativity: Solving Einstein's Equations on the Computer Numerical Relativity: Solving Einstein's Equations on the Computer
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements.
Black-hole binaries, gravitational waves, and numerical relativity
Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are
On the numerical integration of Einstein's field equations
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
The basics of gravitational wave theory
Einstein's special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as 'spacetime'. His general theory of relativity further taught
The numerical relativity breakthrough for binary black holes
The evolution of black-hole (BH) binaries in vacuum spacetimes constitutes the two-body problem in general relativity. The solution of this problem in the framework of the Einstein field equations is
Hyperbolic reductions for Einstein's equations
We consider the problem of reducing initial value problems for Einstein's field equations to initial value problems for hyperbolic systems, a problem of importance for numerical as well as analytical
Numerical relativity beyond astrophysics.
  • D. Garfinkle
  • Physics
    Reports on progress in physics. Physical Society
  • 2017
TLDR
An overview of investigations of the properties of spacetime singularities such as those that occur in the interior of black holes and in big bang cosmology and investigations inspired by string theory are covered.
...
1
2
3
4
5
...