Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-10-09
Phys.Rev.D79:104027,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
29 pages, 12 figures
Scientific paper
10.1103/PhysRevD.79.104027
Gravitational properties of a hedge-hog type topological defect in two extra dimensions are considered in General Relativity employing a vector as the order parameter. The developed macroscopic theory of phase transitions with spontaneous symmetry breaking is applied to the analysis of possible "thick" brane structures. The previous considerations were done using the order parameter in the form of a multiplet in a target space of scalar fields. The difference of these two approaches is analyzed and demonstrated in detail. There are two different symmetries of regular solutions of Einstein equations for a hedgehog type vector order parameter. Both solutions are analyzed in parallel analytically and numerically. Regular configurations in cases of vector order parameter have one more free parameter in comparison with the scalar multiplet solutions. It is shown that the existence of a negative cosmological constant is sufficient for the spontaneous symmetry breaking of the initially plain bulk. Regular configurations have a growing gravitational potential and are able to trap the matter to the brane. Among others there are solutions with the gravitational potential having several points of minimum. Identical in the uniform bulk spin-less particles, being trapped within separate points of minimum, acquire different masses and appear to an observer within the brane as different particles with integer spins.
No associations
LandOfFree
Spontaneous Symmetry Breaking in General Relativity. Brane World Concept does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spontaneous Symmetry Breaking in General Relativity. Brane World Concept, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous Symmetry Breaking in General Relativity. Brane World Concept will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-51778