2010, ISBN 052151407X, xviii, 698

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...

Numerical calculations | General relativity (Physics) | Einstein field equations | Data processing | Relativity (Physics) | Computer programs

Numerical calculations | General relativity (Physics) | Einstein field equations | Data processing | Relativity (Physics) | Computer programs

Book

Nature physics, ISSN 1745-2481, 2016, Volume 12, Issue 4, pp. 346 - 349

...). This process is mainly governed by gravity, which is the dominant force on large scales. At present, a century after the formulation of general relativity(2...

PHYSICS, MULTIDISCIPLINARY | CODE | SIMULATIONS | Numerical analysis | Astrophysics | Dark energy | Dark matter | Gravity | Gravitation | Computer simulation | Mathematical analysis | Relativity | Cosmology | Mathematical models | Formations

PHYSICS, MULTIDISCIPLINARY | CODE | SIMULATIONS | Numerical analysis | Astrophysics | Dark energy | Dark matter | Gravity | Gravitation | Computer simulation | Mathematical analysis | Relativity | Cosmology | Mathematical models | Formations

Journal Article

General relativity and gravitation, ISSN 0001-7701, 2019, Volume 51, Issue 6, pp. 1 - 37

We present a number of open problems within general relativity. After a brief introduction to some technical mathematical issues and the famous singularity...

Open questions | Theoretical, Mathematical and Computational Physics | Mathematical general relativity | Analytical gr | Quantum Physics | Review | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | GRAVITATIONAL COLLAPSE | GLOBAL EXISTENCE | EINSTEIN EQUATIONS | PHYSICS, MULTIDISCIPLINARY | SELF-SIMILAR BLOWUP | MEAN-CURVATURE FOLIATIONS | ASYMPTOTIC-BEHAVIOR | ASTRONOMY & ASTROPHYSICS | FIELD-EQUATIONS | STRONG COSMIC CENSORSHIP | HOMOGENEOUS COSMOLOGICAL MODELS | SPACE-TIMES | PHYSICS, PARTICLES & FIELDS | Censorship | Dark energy | Physics - General Relativity and Quantum Cosmology

Open questions | Theoretical, Mathematical and Computational Physics | Mathematical general relativity | Analytical gr | Quantum Physics | Review | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Physics | Astronomy, Astrophysics and Cosmology | GRAVITATIONAL COLLAPSE | GLOBAL EXISTENCE | EINSTEIN EQUATIONS | PHYSICS, MULTIDISCIPLINARY | SELF-SIMILAR BLOWUP | MEAN-CURVATURE FOLIATIONS | ASYMPTOTIC-BEHAVIOR | ASTRONOMY & ASTROPHYSICS | FIELD-EQUATIONS | STRONG COSMIC CENSORSHIP | HOMOGENEOUS COSMOLOGICAL MODELS | SPACE-TIMES | PHYSICS, PARTICLES & FIELDS | Censorship | Dark energy | Physics - General Relativity and Quantum Cosmology

Journal Article

Classical and quantum gravity, ISSN 0264-9381, 12/2015, Volume 32, Issue 24, pp. 245011 - 245044

In this work, we introduce GRChombo: a new numerical relativity code which incorporates full adaptive mesh refinement (AMR...

numerical, general relativity, adaptive mesh | numerical | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | EVOLUTIONS | FIELD | ASTRONOMY & ASTROPHYSICS | adaptive mesh | CRITICAL COLLAPSE | general relativity | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Einstein equations | Hierarchies | Mathematical analysis | Numerical relativity | Formalism | Quantum gravity | Standards | Stands | Physics - General Relativity and Quantum Cosmology

numerical, general relativity, adaptive mesh | numerical | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | EVOLUTIONS | FIELD | ASTRONOMY & ASTROPHYSICS | adaptive mesh | CRITICAL COLLAPSE | general relativity | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Einstein equations | Hierarchies | Mathematical analysis | Numerical relativity | Formalism | Quantum gravity | Standards | Stands | Physics - General Relativity and Quantum Cosmology

Journal Article

Living reviews in relativity, ISSN 1433-8351, 2009, Volume 12, Issue 1, pp. 1 - 103

Equations arising in general relativity are usually too complicated to be solved analytically and one must rely on numerical methods to solve sets of coupled partial differential equations...

Neutron Star | Spherical Harmonic | Astrophysics and Astroparticles | Black Hole | Cosmology | Spectral Method | Classical and Quantum Gravitation, Relativity Theory | Physics | Gravitational Wave | SPONTANEOUS SYMMETRY-BREAKING | OUTER BOUNDARY-CONDITIONS | RAPIDLY ROTATING STARS | HIGHLY ACCURATE CALCULATION | 1ST-ORDER PHASE-TRANSITION | EINSTEIN EQUATIONS | NEUTRON-STAR MODELS | GRAVITATIONAL-WAVES | APPARENT-HORIZON FINDER | BLACK-HOLE | PHYSICS, PARTICLES & FIELDS | Partial differential equations | Theory of relativity | Review | Numerical methods | Numerical relativity

Neutron Star | Spherical Harmonic | Astrophysics and Astroparticles | Black Hole | Cosmology | Spectral Method | Classical and Quantum Gravitation, Relativity Theory | Physics | Gravitational Wave | SPONTANEOUS SYMMETRY-BREAKING | OUTER BOUNDARY-CONDITIONS | RAPIDLY ROTATING STARS | HIGHLY ACCURATE CALCULATION | 1ST-ORDER PHASE-TRANSITION | EINSTEIN EQUATIONS | NEUTRON-STAR MODELS | GRAVITATIONAL-WAVES | APPARENT-HORIZON FINDER | BLACK-HOLE | PHYSICS, PARTICLES & FIELDS | Partial differential equations | Theory of relativity | Review | Numerical methods | Numerical relativity

Journal Article

Physical review letters, ISSN 1079-7114, 2009, Volume 103, Issue 20, p. 201102

.... Those solutions show, for the first time explicitly, a recovery of the Schwarzschild solution of general relativity via the so-called Vainshtein mechanism.

BRANE | PHYSICS, MULTIDISCIPLINARY | FIELD THEORIES | MATHEMATICAL SOLUTIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | NUMERICAL SOLUTION | SYMMETRY | GENERAL RELATIVITY THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCHWARZSCHILD METRIC | METRICS | GRAVITATION | RELATIVITY THEORY

BRANE | PHYSICS, MULTIDISCIPLINARY | FIELD THEORIES | MATHEMATICAL SOLUTIONS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | NUMERICAL SOLUTION | SYMMETRY | GENERAL RELATIVITY THEORY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCHWARZSCHILD METRIC | METRICS | GRAVITATION | RELATIVITY THEORY

Journal Article

Classical and quantum gravity, ISSN 1361-6382, 2020, Volume 37, Issue 4, p. 045015

We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed...

black hole formation | QUANTUM SCIENCE & TECHNOLOGY | EVOLUTION | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | EINSTEIN | ASTRONOMY & ASTROPHYSICS | EQUATIONS | numerical relativity | boundary conditions | PHYSICS, PARTICLES & FIELDS

black hole formation | QUANTUM SCIENCE & TECHNOLOGY | EVOLUTION | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | EINSTEIN | ASTRONOMY & ASTROPHYSICS | EQUATIONS | numerical relativity | boundary conditions | PHYSICS, PARTICLES & FIELDS

Journal Article

Astrophysical journal. Letters, ISSN 2041-8205, 12/2015, Volume 815, Issue 2, pp. L19 - 5

It has recently been demonstrated that self-consistent particle-in-cell simulations of low-obliquity pulsar magnetospheres in flat spacetime show weak particle...

magnetic fields | plasmas | acceleration of particles | pulsars: general | NUMERICAL SCHEME | PARTICLE-ACCELERATION | ASTRONOMY & ASTROPHYSICS | SIMULATIONS | POLAR-CAP | Bundling | Simulation | Pulsar magnetospheres | Pulsars | Pair production | Particle in cell technique | Electric fields | Density | Physics - High Energy Astrophysical Phenomena | MAGNETIC FIELDS | PULSARS | CURRENT DENSITY | STELLAR MAGNETOSPHERES | COMPUTERIZED SIMULATION | RELATIVISTIC RANGE | ACCELERATION | ELECTRIC FIELDS | PLASMA | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | GENERAL RELATIVITY THEORY | SPACE-TIME | OSCILLATIONS | PAIR PRODUCTION

magnetic fields | plasmas | acceleration of particles | pulsars: general | NUMERICAL SCHEME | PARTICLE-ACCELERATION | ASTRONOMY & ASTROPHYSICS | SIMULATIONS | POLAR-CAP | Bundling | Simulation | Pulsar magnetospheres | Pulsars | Pair production | Particle in cell technique | Electric fields | Density | Physics - High Energy Astrophysical Phenomena | MAGNETIC FIELDS | PULSARS | CURRENT DENSITY | STELLAR MAGNETOSPHERES | COMPUTERIZED SIMULATION | RELATIVISTIC RANGE | ACCELERATION | ELECTRIC FIELDS | PLASMA | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | GENERAL RELATIVITY THEORY | SPACE-TIME | OSCILLATIONS | PAIR PRODUCTION

Journal Article

Living reviews in relativity, ISSN 1433-8351, 2008, Volume 11, Issue 1, pp. 1 - 131

...) in general relativity. Some significant additions have been incorporated with respect to the previous two versions of this review (2000, 2003...

Cosmology | Astrophysics and Astroparticles | Classical and Quantum Gravitation, Relativity Theory | Physics | EQUATION-OF-STATE | ROTATIONAL CORE COLLAPSE | BLACK-HOLE ACCRETION | BOLTZMANN NEUTRINO TRANSPORT | SMOOTHED PARTICLE HYDRODYNAMICS | MAGNETICALLY DRIVEN ACCRETION | GRAVITATIONAL-WAVE EMISSION | BONDI-HOYLE ACCRETION | PIECEWISE PARABOLIC METHOD | GODUNOV-TYPE SCHEMES | PHYSICS, PARTICLES & FIELDS | Relativism | Fluid mechanics | Theory of relativity | Review | Hydrodynamics | Magnetohydrodynamics | Relativistic hydrodynamics | Numerical relativity

Cosmology | Astrophysics and Astroparticles | Classical and Quantum Gravitation, Relativity Theory | Physics | EQUATION-OF-STATE | ROTATIONAL CORE COLLAPSE | BLACK-HOLE ACCRETION | BOLTZMANN NEUTRINO TRANSPORT | SMOOTHED PARTICLE HYDRODYNAMICS | MAGNETICALLY DRIVEN ACCRETION | GRAVITATIONAL-WAVE EMISSION | BONDI-HOYLE ACCRETION | PIECEWISE PARABOLIC METHOD | GODUNOV-TYPE SCHEMES | PHYSICS, PARTICLES & FIELDS | Relativism | Fluid mechanics | Theory of relativity | Review | Hydrodynamics | Magnetohydrodynamics | Relativistic hydrodynamics | Numerical relativity

Journal Article