Published April 2012 | Version v1
Journal article Metadata-only

New Geometry with All Killing Vectors Spanning the Poincaré Algebra

Creators

  • 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049 (China)
  • 2. Graduate University of Chinese Academy of Sciences, Beijing 100049 (China)
  • 3. Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 (China)
  • 4. Department of Physics, Tsinghua University, Beijing 100084 (China)
  • 5. Department of Physics, Beijing Normal University, Beijing 100875 (China)

Description

The new four-dimensional geometry whose Killing vectors span the Poincaré algebra is presented and its structure is analyzed. The new geometry can be regarded as the Poincaré-invariant solution of the degenerate extension of the vacuum Einstein field equations with a negative cosmological constant and provides a static cosmological spacetime with a Lobachevsky space. The motion of free particles in the spacetime is discussed. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/0256-307X/29/4/040303

Additional details

Identifiers

DOI
10.1088/0256-307X/29/4/040303;

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
29
Journal Issue
4
Journal Page Range
[4 p.]
ISSN
0256-307X
CODEN
CPLEEU

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45003954
Subject category
S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Descriptors DEI
ALGEBRA; COSMOLOGICAL CONSTANT; COSMOLOGY; EINSTEIN FIELD EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; INVARIANCE PRINCIPLES; LOBACHEVSKY GEOMETRY; MATHEMATICAL SOLUTIONS; SPACE-TIME; VECTORS
Descriptors DEC
EQUATIONS; FIELD EQUATIONS; GEOMETRY; MATHEMATICS; TENSORS