Gravity on codimension 2 brane worlds
The authors compute the matching conditions for a general thick codimension 2 brane, a necessary previous step towards the investigation of gravitational phenomena in co-dimension 2 braneworlds. They show that, provided the brane is weakly curved, they are specified by the integral in the extra dimensions of the brane energy-momentum, independently of its detailed internal structure. These general matching conditions can then be used as boundary conditions for the bulk solution. By evaluating Einstein equations at the brane boundary they are able to write an evolution equation for the induced metric on the brane depending only on physical brane parameters and the bulk energy-momentum tensor. They particularize to a cosmological metric and show that a realistic cosmology can be obtained in the simplest case of having just a non-zero cosmological constant in the bulk. They point out several parallelisms between this case and the codimension 1 brane worlds in an AdS space.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76CH03000
- OSTI ID:
- 15017349
- Report Number(s):
- FERMILAB-PUB-04-350-T; arXiv eprint number hep-th/0411250; TRN: US0605245
- Journal Information:
- JHEP 0502:007,2005, Journal Name: JHEP 0502:007,2005
- Country of Publication:
- United States
- Language:
- English
Similar Records
Einstein gravity on an even-codimension brane
5-dimensional braneworld with gravitating Nambu–Goto matching conditions