BOOK REVIEW: Numerical Relativity: Solving Einstein's Equations on the Computer Numerical Relativity: Solving Einstein's Equations on the Computer

@article{Baumgarte2010BOOKRN,
  title={BOOK REVIEW: Numerical Relativity: Solving Einstein's Equations on the Computer Numerical Relativity: Solving Einstein's Equations on the Computer},
  author={Thomas W. Baumgarte and Stuart L. Shapiro},
  journal={Classical and Quantum Gravity},
  year={2010}
}
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. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300… 

Tables from this paper

Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology

Einstein's general theory of relativity is widely considered to be one of the most elegant and successful scientific theories ever developed, and it is increasingly being taught in a simplified form

Numerical Relativity and the Discovery of Gravitational Waves

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

NUMERICAL RELATIVITY

This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter

Simulating the universe(s): from cosmic bubble collisions to cosmological observables with numerical relativity

The theory of eternal inflation in an inflaton potential with multiple vacua predicts that our universe is one of many bubble universes nucleating and growing inside an ever-expanding false vacuum.

P-stars in the gravitational wave era

P-stars are compact relativistic stars made of deconfined up and down quarks in a chromomagnetic condensate proposed by us long time ago. P-stars do not admit a critical mass thereby they are able to

Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems

We present a new initial data formulation to solve the full set of Einstein equations for spacetimes that contain a black hole under general conditions. The method can be used to construct complete

Spritz: a new fully general-relativistic magnetohydrodynamic code

The new era of multimessenger astrophysics requires the capability of studying different aspects of the evolution of compact objects. In particular, the merger of neutron star binaries is a strong

A fully general relativistic numerical simulation code for spherically symmetric matter

We present a fully general relativistic open-source code that can be used for simulating a system of spherically symmetric perfect fluid matter. It is based on the Arnowitt-Deser-Misner 3+1 formalism

Conformal Methods in General Relativity

TLDR
This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity, and provides an accessible account of key results in mathematical relativity over the last thirty years.

Mathematical Problems of General Relativity

Introduction General Relativity is sometimes described as the flagship of Mathematical Physics. The study of the mathematical properties of the solutions to the equations of General Relativity ⎯the
...