A5059571958- Cosmology and Gravitation Theories
- Black Holes and Theoretical Physics
- Geophysics and Gravity Measurements
- Dark Matter and Cosmic Phenomena
- Advanced Differential Geometry Research
- Advanced NMR Techniques and Applications
- Oral and gingival health research
- Quantum Electrodynamics and Casimir Effect
- Hedgehog Signaling Pathway Studies
- Relativity and Gravitational Theory
- Genomic variations and chromosomal abnormalities
- Magnetic Properties of Alloys
Ben-Gurion University of the Negev
1991-1996
The gravitational field produced by a spherically symmetric "hedgehog" configuration in scalar theories with global SO(3) symmetry (or higher) is studied the limit which these models become nonlinear $\ensuremath{\sigma}$ models. same effect can be generated set of cosmic strings intersecting at point, that one considers continuous distribution such (to referred to as "string hedgehog"). When energy densities associated hedgehog are small, we obtain static geometry, but for higher values,...
As is well known, some aspects of General Relativity and Cosmology can be reproduced without even using Einstein's equation. an illustration, the 0 - component Schwarzschild space obtained by requirement that geodesic slowly mov- ing particles match Newtonian Given this result, we shall show here remaining (grr) requiring inside a ball dust matched at free falling radius with external unspecified type. This matching determines to By this, it also possi- ble determine constant integration...
We show that the presence of a hedgehog field configuration Higgs field, which causes spontaneous symmetry breaking internal symmetry, can also cause compactification two dimensions into two-sphere. In contrast with other mechanisms compacification, when higher-dimensional cosmological constant is zero, we still get zero effective four-dimensional constant, and not large negative curvature space. models in this mechanism works, scale fixed self-consistently to be Planck scale.
Using Gauss's square-roots of the metric components, diagonal Riemann tensor components for metrics are calculated. The result is a form which makes their source in directly intuitive and displays an intriguing relation to Gaussian curvature. Several examples calculation utilizing this formula presented, speculative quesiton raised about possibility invariant characteristic spaces amenable orthogonal coordinates/diagonal metrics.