Gravitating global defects: the gravitational field and compactification
نویسنده
چکیده
We give a prescription to add the gravitational field of a global topological defect to a solution of Einstein’s equations in an arbitrary number of dimensions. We only demand that the original solution has a O(n) invariance with n ≥ 3. We will see that the general effect of a global defect is to introduce a deficit solid angle. We also show how the same kind of scalar field configurations can be used for spontaneous compactification of n extra dimensions on an n-sphere.
منابع مشابه
Gravitating Global k-monopole
A gravitating global k-monopole produces a tiny gravitational field outside the core in addition to a solid angular deficit in the k-field theory. As a new feature, the gravitational field can be attractive or repulsive depending on the non-canonical kinetic term. PACS numbers: 11.27.+d, 11.10. Lm Gravitating Global k-monopole 2
متن کاملLocal stability criterion for self-gravitating disks in modified gravity
We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like term on the dynamics of self-gravitating disks. More specifically, we investigate the consequences of the presence of this term for the local stability of t...
متن کاملTextures in Dilaton Gravity
We examine the field equations of a self-gravitating texture in low-energy superstring gravity, allowing for an arbitrary coupling of the texture field to the dilaton. Both massive and massless dilatons are considered. For the massless dilaton, we find that non-singular spacetimes only exist for certain values of the coupling, dependent on the gravitational strength of the texture. For the mass...
متن کاملDilatonic Global Strings
We examine the field equations of a self-gravitating global string in low energy superstring gravity, allowing for an arbitrary coupling of the global string to the dilaton. Massive and massless dilatons are considered. For the massive dilaton the spacetime is similar to the recently discovered non-singular time-dependent Einstein self-gravitating global string, but the massless dilaton generic...
متن کاملماده تاریک یا دینامیک دیگر؟
Allowing the energy of a gravitational field to serve partially as its own source allows gravitating bodies to exhibit stronger fields, as if they were more massive. Depending on degree of compaction of the body, the field could be one to five times larger than the Newtonian field. This is a comfortable range of increase in field strength and may prove to be of convenience in the study of vel...
متن کامل