Published August 2018 | Version v1
Journal article

A complete set of integrals and solutions to the Szekeres system

  • 1. Astronomical Observatory of the Jagiellonian University, ul. Orla 171, 30-244 Kraków (Poland)
  • 2. Department of Applied Mathematics, University of Agriculture in Kraków, ul. Balicka 253c, 30-198 Kraków (Poland)
  • 3. Copernicus Center for Interdisciplinary Studies, ul. Sławkowska 17, 31-016 Kraków (Poland)

Description

The Szekeres system is an ODE system arising from the Szekeres cosmological model. The paper presents the way to solve it using its four global independent first integrals. It also contains the complete set of its solutions in the particular cases, related to the set where the integrals are indefinite.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2018.05.038

Additional details

Identifiers

DOI
10.1016/j.physleta.2018.05.038;
PII
S0375960118305838;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
382
Journal Issue
32
Journal Page Range
p. 2085-2091
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51015088
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COSMOLOGICAL MODELS; EXACT SOLUTIONS; INTEGRALS; POLYNOMIALS
Descriptors DEC
FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS

Optional Information

Copyright
Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.