# TOPICAL REVIEW: Numerical relativity: a review

@article{Lehner2001TOPICALRN, title={TOPICAL REVIEW: Numerical relativity: a review}, author={Luis Lehner}, journal={Classical and Quantum Gravity}, year={2001}, volume={18} }

Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of general relativity, numerical models have proved extremely valuable for investigations of strong-field scenarios and been crucial in revealing unexpected phenomena. Considerable efforts are being spent to simulate astrophysically relevant simulations, understand different aspects of the theory and even provide insights into the search for a quantum…

## 49 Citations

### Introduction to Numerical Relativity

- Physics, GeologyFrontiers in Astronomy and Space Sciences
- 2020

Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically…

### Exploring New Physics Frontiers Through Numerical Relativity

- PhysicsLiving reviews in relativity
- 2015

Techniques for solving Einstein’s equations in generic spacetimes are reviewed, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches.

### Numerical Relativity as a New Tool for Fundamental Cosmology

- PhysicsPhysics
- 2022

Advances in our understanding of the origin, evolution, and structure of the universe have long been driven by cosmological perturbation theory, model building, and effective field theory. In this…

### Status Quo and Open Problems in the Numerical Construction of Spacetimes

- Mathematics
- 2004

The possibility of explicitly constructing solutions to the Einstein equations via computer simulations represents a relatively new, powerful approach to investigate the theory. Numerical relativity…

### Numerical general relativity in exotic settings

- Physics
- 2013

In this thesis, we discuss applications of numerical relativity in a variety of complex settings. After introducing aspects of black hole physics, extra dimensions, holography, and Einstein-Aether…

### Astrophysical Black Holes: A Compact Pedagogical Review

- Physics
- 2017

Black holes are among the most extreme objects that can be found in the Universe and an ideal laboratory for testing fundamental physics. Here, the basic properties of black holes as expected from…

### A numerical relativity scheme for cosmological simulations

- Physics
- 2016

Cosmological simulations involving the fully covariant gravitational dynamics may prove relevant in understanding relativistic/non-linear features and, therefore, in taking better advantage of the…

### The numerical relativity breakthrough for binary black holes

- Physics
- 2014

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…

### Computational black hole dynamics

- Physics
- 2005

Over the last decade, advances in computer hardware and numerical algorithms have opened the door to the possibility that simulations of sources of gravitational radiation can produce valuable…

### A numerical study of boson stars

- Physics
- 2004

We present a numerical study of general relativistic boson stars in both spherical symmetry and axisymmetry. We consider both time-independent problems, involving the solution of equilibrium…

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