title: The Einstein equation solution inside a ball with uniform density
metadata.name: dc.contributor.author
metadata.value: Drivotin, Oleg I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-04-22T20:11:07Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-04-22T20:11:07Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Drivotin O. I. The Einstein equation solution inside a ball with uniform density. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 1, pp. 4–9. https://doi.org/10.21638/11701/spbu10.2024.101 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2024.101
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45325
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A great number of solutions of the Einstein field equation are known. They describe the
  gravitational field in the empty spacetime, in the spacetime with electromagnetic field and
  for a ball filled with a liquid under pressure. The present work is devoted to gravitational
  field generated by some mass distribution. One of the simplest cases is considered, when
  mass is uniformely distributed inside a ball and is not moving. The boundary problem for
  the Einstein equation is formulated. Solution outside the ball is the Schwartzschild solution
  in vacuum. The coordinates at which the Schwartzschild solution is written are different
  from the coordinates used in equations for components of the metric tensor inside the ball.
  Relations between internal and external coordinates are found on the ball surface. They
  allow to use the Schwartzschild solution for formulation of boundary conditions for internal
  solution. The solution of the boundary problem is found for the case of weak field. This
  solution can be used as an example in the analysis of laws of conservation for the gravitational
  field, in which interaction of mass with field generated by the mass gives a contribution to
  momentum and energy of the gravitational field.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 20; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: the Einstein equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: metric tensor
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ball with uniform mass density
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The Einstein equation solution inside a ball with uniform density
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_004.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45325/1/vestnik_spbu10_2024_004.pdf
resources.format: Adobe PDF
resources.size: 194,23 kB