Physics NotePublished
Antipodal Universes in the Topology and
F. D. Sasse; Ivano Damião Soares; Jaime Tiomno
1988
Publication details
- Authors
- F. D. Sasse; Ivano Damião Soares; Jaime Tiomno
- Type
- Physics Note
- Status
- Published
- Publication date
- 1988
- Description
- On the Lie groups <math>S^3\times R \,\!</math> and <math> H^3\times R\,\!</math> a two-parameter family of left-invariant metrics <math>g_L\,\! </math> and right-invariant metrics <math>g_R \,\! </math> is introduced. The resulting space-times admit a five-parameter group of motions; in the family with topology <math> H^3\times R\,\!</math> the case occurs in which <math>g_L = g_R \,\! </math>, and this particular space-time admits a seven-parameter group of motions, with the 3-dimensional section <math>H^3\,\! </math> maximally symmetric. Global causality problems are easily characterized and it is shown how they can be avoided by the introduction of a line of singularities (strings) in the space-times. A coordinate system is defined where the left-invariant metrics <math> g_L \,\! </math> and right-invariant metrics <math>g_R \,\! </math> differ by a coordinate inversion - equivalently <math>g_L \,\! </math> and <math>g_R \,\! </math> correspond to rotating universes with opposite matter vorticity - and it is discussed how weak interaction processes could allow distinguishing the universes physically (this is the subject of a companion paper, where we introduce neutrinos as test particles in these universes). Coordinate transformations are also presented where both metrics <math>g_L \,\! </math> and <math>g_R \,\! </math> can be recast in the form of a Göde1-type metric.
- Year
- 1988
- Number
- CBPF-NF-004/88
- Linked to a thesis
- No
- Linked to a grant
- No