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Weighing the Vacuum Energy
- Source :
- Phys. Rev. D 103, 084032 (2021)
- Publication Year :
- 2020
-
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.<br />Comment: 32 pages. Minor corrections
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 103, 084032 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2011.08231
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.103.084032