Published October 7, 2004 | Version v1
Journal article

On the theory of homothetic and affine orbits in spacetime

  • 1. Department of Mathematical Sciences, Meston Building, King's College, University of Aberdeen, Aberdeen AB24 3UE (United Kingdom)

Description

Following recent work on the theory of Killing orbits in spacetime, an extension of these ideas is made to include the orbits of the homothetic and affine Lie algebras of symmetry vector fields. The possibility of a coincidence of orbits from the Killing, homothetic or affine algebras is explored and the results related to the stability of the orbits. A classification of homothetic isotropy is given and several examples of the possible orbit and isotropy behaviour are presented

Availability note (English)

Available online at http://stacks.iop.org/0264-9381/21/4731/cqg4_19_015.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Classical and Quantum Gravity
Journal Volume
21
Journal Issue
19
Journal Page Range
p. 4731-4742
ISSN
0264-9381
CODEN
CQGRDG

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36029456
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CLASSIFICATION; ISOTROPY; LIE GROUPS; SPACE-TIME; SYMMETRY; VECTOR FIELDS
Descriptors DEC
SYMMETRY GROUPS