This paper is available on arxiv under CC 4.0 license.
Authors:
(1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier.
Table of Links
- Abstract and Introduction
- 5-dimensional Einstein Equations
- Nested Gogberashvili Models
- Harmony of Transcosmic Spheres
- Sequence of Event Horizons
- Time-amalgamated Multiverses
- Dark Energy and Multiversal Nurseries
- Black Holes as Multiverses
- Multi-solitonic and Gyratonic Gravitational Waves
- Elliptic and Spiral Galaxies
- Cosmological Coupling
- Conclusion and References
2 5-dimensional Einstein equations
Consider the 5-dimensional Einstein equation in the following form:
Gogberashvili searched for a Schwarzschild-like solution of the form:
where r is the 4-dimensional radial coordinate and dΩ 2 is the 3-dimensional volume element [2, eq. (2)-(4)].
The solution is given in terms of metrics of inner and outer regions:
separated by a time-like 4-dimensional spherical shell (brane, bubble) with FLRW metrics:
where τ is the intrinsic time of this spherical universe [2, eq. (13)-(14)].