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Though the main applications of computer simulations in relativity are to astrophysical systems such as black holes and neutron stars, nonetheless there are important applications of numerical methods to the investigation of general…

General Relativity and Quantum Cosmology · Physics 2016-11-15 David Garfinkle

In order to account for the observable Universe, any comprehensive theory or model of cosmology must draw from many disciplines of physics, including gauge theories of strong and weak interactions, the hydrodynamics and microphysics of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Peter Anninos

This review is an up-to-date account of the use of numerical relativity to study dynamical, strong-gravity environments in a cosmological context. First, we provide a gentle introduction into the use of numerical relativity in solving…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Josu C. Aurrekoetxea , Katy Clough , Eugene A. Lim

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…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Luis Lehner

We are entering an era where the numerical construction of generic spacetimes is becoming a reality. The use of computer simulations, in principle, allows us to solve Einstein equations in their full generality and unravel important…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luis Lehner

This paper reviews connections between physics and computation, and explores their implications. The main topics are computational "hardness" of physical systems, computational status of fundamental theories, quantum computation, and the…

Logic · Mathematics 2007-05-23 Joseph Shipman

This is one chapter of the collection of problems in cosmology, in which we assemble the problems, with solutions, that concern one of the most distinctive features of general relativity and cosmology---the horizons. The first part gives an…

Physics Education · Physics 2014-01-10 Yu. L. Bolotin , I. V. Tanatarov

The review summarizes present and future applications of galaxy clusters to cosmology with emphasis on nearby X-ray clusters. The discussion includes the density of dark matter, the normalization of the matter power spectrum, neutrino…

Astrophysics · Physics 2015-06-24 Peter Schuecker

The purpose of these lectures is to give a short introduction into a very vast field of numerical simulations for cosmological applications. I focus on major features of the simulations: the equations, main numerical techniques, effects of…

Astrophysics · Physics 2008-02-03 A. Klypin

We discuss the evolution of the universe in the context of the second law of thermodynamics from its early stages to the far future. Cosmological observations suggest that most matter and radiation will be absorbed by the cosmological…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Andrew P. Lundgren , Ruxandra Bondarescu , Mihai Bondarescu

The fourth chapter of the collection of problems in cosmology, devoted to black holes. Consists of basic introduction, sections on Schwarzschild and Kerr black holes, a section on particles' motion and collisions in general black hole…

Physics Education · Physics 2013-10-24 Yu. L. Bolotin , I. V. Tanatarov , O. B. Zaslavskii

Cosmic voids are low-mass-density regions on intergalactic scales. They are where cosmic expansion and acceleration are most dominant, important places to understand and analyze for cosmology. This entry summarises theoretical underpinnings…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-01 Yan-Chuan Cai , Mark Neyrinck

Our understanding of space and time is probed to its depths by black holes. These objects, which appear as a natural consequence of general relativity, provide a powerful analytical tool able to examine macroscopic and microscopic…

Astrophysics · Physics 2015-06-24 Jean-Pierre Luminet

We present a collection of new, open-source computational tools for numerically modeling recent large-scale observational data sets using modern cosmology theory. Specifically, these tools will allow both students and researchers to…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-22 Jacob Moldenhauer , Larry Engelhardt , Keenan Stone , Ezekiel Shuler

Galaxy simulations have come a long way from the early days of simple N-body calculations, which considered only gravitational interactions, to the complex, multi-physics models used today. Beginning with initial conditions representative…

Astrophysics of Galaxies · Physics 2025-07-15 Robert Feldmann , Rebekka Bieri

The cosmological models in the frame of the Newtonian and general relativistic treatments are considered. The centrifugal forces acting between particles rotating randomly around each other are shown to be able to reverse gravitational…

General Physics · Physics 2008-07-31 I. S. Nurgaliev

I describe approaches to the study of black hole spacetimes via numerical relativity. After a brief review of the basic formalisms and techniques used in numerical black hole simulations, I discuss a series of calculations from axisymmetry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Seidel

Over the last decades, cosmological simulations of galaxy formation have been instrumental for advancing our understanding of structure and galaxy formation in the Universe. These simulations follow the non-linear evolution of galaxies…

Astrophysics of Galaxies · Physics 2019-12-20 Mark Vogelsberger , Federico Marinacci , Paul Torrey , Ewald Puchwein

I report on recent progress in the exciting field of Numerical Relativity, with special attention to black hole horizons.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joan Masso

Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In…

General Relativity and Quantum Cosmology · Physics 2013-10-11 Helvi Witek
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