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Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation

Mir Mehedi Faruk

  • Department of Physics, McGill University, Montreal, Quebec H3A 2T8, Canada

Phys. Rev. D 109, L061902 – Published 19 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L061902

Abstract

In this article, we point out that to solve the null Raychaudhuri equation for higher-dimensional spacetime with an accelerating FRW solution in external directions and static compact internal directions, it is necessary to violate the strong-energy condition in higher dimensions. This constraint is well-known in obtaining accelerating cosmological solutions in string compactification, first described by Gibbons-Maldacena-Nunez. In deriving this constraint, we do not make any assumptions regarding the matter content.

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