A point mass and continuous collapse to a point mass in general relativity

An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac δ -function, including a description of a continuous collapse to such a point mass, is given. A maximally generalized description restricted by physically reasonable requ...

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Bibliographic Details
Published in:General relativity and gravitation 2018, Vol.50 (1), p.1-25, Article 6
Main Author: Petrov, Alexander N.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Classical and Quantum Gravitation
Collapse
Differential Geometry
Gravitation
Gravitational collapse
Gravity
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity
Relativity Theory
Research Article
Singularities
Theoretical
Theory of relativity
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Summary:An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac δ -function, including a description of a continuous collapse to such a point mass, is given. A maximally generalized description restricted by physically reasonable requirements is developed. A so-called field-theoretical formulation of general relativity, being equivalent to the standard geometrical presentation of general relativity, is used. All of the dynamical fields, including the gravitational field, are considered as propagating in a background (curved or flat) spacetime. Namely these properties allow us to present a non-contradictive picture of the point mass description. The results can be useful for studying the structure of the black hole true singularities and could be developed for practical calculations in models with black holes.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-017-2326-4