Lovelock Gravity with Spontaneous Dimensional Breaking
Kouzou Nishida
TL;DR
This paper explores a Lovelock gravity model in higher dimensions, demonstrating that spontaneous compactification of extra dimensions can reproduce Einstein gravity without a cosmological constant.
Contribution
It introduces a specific Lovelock gravity setup with spontaneous dimensional breaking leading to Einstein gravity in lower dimensions.
Findings
Vacuum solutions are products of Minkowski space and n-spheres.
Spontaneous compactification reproduces Einstein gravity.
No cosmological constant is generated in the effective theory.
Abstract
We consider D-dimensional Lovelock gravity with only one term of higher-order Lovelock Lagrangian densities, and show that a product of Minkowski space-time and n-spheres is its vacuum solution. The most interesting feature of our model is that the spontaneous compactification of the extra dimensions results in reproduction of the Einstein gravity with no cosmological constant.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Relativity and Gravitational Theory