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arXiv · 2011.08231

Weighing the Vacuum Energy

Enrique Alvarez·Jesus Anero·Raquel Santos-Garcia
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Abstract

We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form $\mathbb{T}^3 \times \mathbb{R}$, where $\mathbb{T}^3$ stands for a general 3-torus. We discover a quite simple relationship between energy at radius $R$ and energy at radius $\frac{l_s^2}{ R}$. Then we consider quantum gravity effects in the vacuum energy of a scalar field in $\mathbb{M}_3 \times S^1$ where $\mathbb{M}_3$ is a general curved spacetime, and the circle $S^1$ refers to a spacelike coordinate. We compute it for General Relativity and generic transverse {\em TDiff} theories. In the particular case of Unimodular Gravity vacuum energy does not gravitate.

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Enrique Alvarez, Jesus Anero, Raquel Santos-Garcia. 2020-11-16. Weighing the Vacuum Energy. https://doi.org/10.1103/physrevd.103.084032

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