Open AccessForces in Schwarzschild, Vaidya and generalized Vaidya spacetimes
Author(s) -
Vitalii Vertogradov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2081/1/012036
Subject(s) - physics , spacetime , classical mechanics , schwarzschild radius , mathematical physics , deriving the schwarzschild solution , stationary spacetime , singularity , spherically symmetric spacetime , geodesic , schwarzschild metric , tensor (intrinsic definition) , naked singularity , photon sphere , kerr metric , general relativity , gravitation , mathematical analysis , mathematics , quantum field theory in curved spacetime , charged black hole , quantum mechanics , geometry , quantum gravity , quantum
In this paper we investigate how the leading term in the geodesic equation in Schwarzschild spacetime changes under the coordinate transformation to Eddington-Finkelstein coordinates. This term corresponds to the Newton force of attraction. Also we consider this term when we add the energy-momentum tensor of the form of the null dust and the null perfect fluid into right-hand side of the Einstein equation. We estimate the value of this force in Vaidya spacetime when the naked singularity formation occurs. Also we give conditions in generalized Vaidya spacetime when this force of attraction is replaced by the force of repulsion.