Virial theorem in general relativity - Consequences for stability of spherical symmetry

1979 ◽  
Vol 227 ◽  
pp. 307 ◽  
Author(s):  
C. Vilain
Keyword(s):  
General Relativity ◽  
Spherical Symmetry ◽  
Virial Theorem

Dark Matter

2018 ◽  
pp. 169-174
Author(s):  
Alvaro De Rújula
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Solar Eclipse ◽  
Gravitational Lensing ◽  
Virial Theorem ◽  
Dark Matter Halos ◽  
Gravitational Lenses ◽  
Coma Cluster ◽  
Cluster Of Galaxies ◽  
Galactic Dark Matter

What we know or do not know about dark matter. The evidence for its existence, first found by Fritz Zwicky. The “virial theorem” and the Coma cluster. The rotation curves of galaxies. Galactic dark-matter halos. Gravitational lensing and the May 1919 solar eclipse, a thiumph of General Relativity that propelled Einstein to his fame. The deflection of starlight by the eclipsed Sun. Gravitational lenses, Einstein rings, and Smilie. Gravitational-lensing and evidence for dark matter in the Bullet cluster of galaxies.

New Exact Vacuum Solutions in Brans–Dicke Theory

1997 ◽  
Vol 12 (25) ◽  
pp. 1865-1870 ◽  
Author(s):  
Luis O. Pimentel
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Initial Data ◽  
Cosmological Model ◽  
Exact Solutions ◽  
Spherical Symmetry ◽  
Physical System ◽  
Special Value ◽  
Isotropic Cosmological Model ◽  
Vacuum Solutions

A family of exact solutions to vacuum Brans–Dicke theory with spherical symmetry is found. In the limit of large ω this family reduces to the solutions obtained in general relativity with a scalar field. The solutions show curvature singularities for all times, therefore they do not represent the gravitational collapse of a physical system with regular initial data in the theory. One would like to interpret it as an inhomogeneous dynamical cosmology, but the lack of a regular spacelike slice forbids it. For a special value of an integration constant we have an isotropic cosmological model without the problems mentioned above.

A formulation of the virial theorem in general relativity

1994 ◽  
Vol 11 (2) ◽  
pp. 443-452 ◽  
Author(s):  
Eric Gourgoulhon ◽  
Silvano Bonazzola
Keyword(s):  
General Relativity ◽  
Virial Theorem

On gravitational collapse and cosmic censorship for collisionless matter

2014 ◽  
Vol 11 (02) ◽  
pp. 1460002 ◽  
Author(s):  
Håkan Andréasson
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Gravitational Collapse ◽  
Open Problem ◽  
Present Status ◽  
Spherical Symmetry ◽  
Cosmic Censorship ◽  
Classical General Relativity ◽  
Matter Model ◽  
Cosmic Censorship Conjecture

The weak cosmic censorship conjecture is a central open problem in classical general relativity. Under the assumption of spherical symmetry, Christodoulou has investigated the conjecture for two different matter models; a scalar field and dust. He has shown that the conjecture holds true for a scalar field but that it is violated in the case of dust. The outcome of the conjecture is thus sensitive to which model is chosen to describe matter. Neither a scalar field nor dust are realistic matter models. Collisionless matter, or Vlasov matter, is a simple matter model but can be considered to be realistic in the sense that it is used by astrophysicists. The present status on the weak cosmic censorship conjecture for the Einstein–Vlasov system is reviewed here.

scholarly journals Black hole factory: A review of double-null formalism

2019 ◽  
Vol 28 (03) ◽  
pp. 1930006 ◽  
Author(s):  
Anna Nakonieczna ◽  
Łukasz Nakonieczny ◽  
Dong-Han Yeom
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Spherical Symmetry ◽  
Review Paper ◽  
Black Hole Physics ◽  
Research Areas ◽  
Particle Astrophysics ◽  
Numerical Tool ◽  
Matter Sector

In this review paper, we comprehensively summarize numerical applications of double-null formalism for studying dynamics within the theory of gravity. By using the double-null coordinates, we can investigate dynamical black holes and gravitational phenomena within spherical symmetry, including gravitational collapse, formation of horizons and singularities, as well as evaporations. This formalism can be extended to generic situations, where we can change dimensions, topologies, the gravity sector, as well as the matter sector. We also discuss its possible implications for black hole physics and particle astrophysics. This strong numerical tool will have lots of future applications for various research areas including general relativity, string theory and various approaches to quantum gravity.

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