Gravitational Trapping for Extended Extra Dimension
Merab Gogberashvili
TL;DR
This paper derives a solution for a 4-brane in 5D Anti-de-Sitter space, demonstrating how the cosmological constant enables Newtonian gravity and matter trapping on the brane, contributing to extra dimension theories.
Contribution
It introduces a new solution to Einstein's equations showing matter trapping and Newtonian gravity in a 4-brane within 5D Anti-de-Sitter space.
Findings
Cosmological constant facilitates matter trapping on the brane.
Newton's law is recovered in the 4D effective theory.
A specific solution to Einstein's equations for the 4-brane setup.
Abstract
The solution of Einsteins equations for 4-brane embedded in 5-dimensional Anti-de-Sitter space-time is found. It is shown that the cosmological constant can provide the existence of ordinary 4-dimensional Newton's low and trapping of a matter on the brane.
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