Publication

Living inside a hedgehog: Higher-dimensional solutions that localize gravity

Mikhail Chapochnikov
2000
Journal Articles

Abstract

We consider spherically symmetric higher-dimensional solutions of Einstein's equations with a bulk cosmological constant and n transverse dimensions. In contrast to the case of one or two extra dimensions we find no solutions that localize gravity when n ≥ 3, for strictly local topological defects. We discuss global topological defects that lead to the localization of gravity and estimate the corrections to Newton's law. We show that the introduction of a bulk 'hedgehog' magnetic field leads to a regular geometry and localizes gravity on the 3-brane with either a positive, zero or negative bulk cosmological constant. The corrections to Newton's law on the 3-brane are parametrically the same as for the case of one transverse dimension. (C) 2000 Elsevier Science B.V. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/6ff39aeb-0650-49e0-9140-1b72f1ab0255

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Mikhail Chapochnikov
2000
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/6ff39aeb-0650-49e0-9140-1b72f1ab0255

About this result

Related concepts (31)

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In particle physics and string theory (M-theory), the ADD model, also known as the model with large extra dimensions (LED), is a model framework that attempts to solve the hierarchy problem. (Why is the force of gravity so weak compared to the electromagnetic force and the other fundamental forces?) The model tries to explain this problem by postulating that our universe, with its four dimensions (three spatial ones plus time), exists on a membrane in a higher dimensional space.

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