Year: 2021
Type: article
Abstract: We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form ${\mathbb{T}}^{3}\ifmmode\times\else\texttimes\fi{}\mathbb{R}$, 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 ${\mathbb{M}}_{3}\ifmmode\times\else\texttimes\fi{}{S}^{1}$ 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 diffeomorphisms theories. In the particular case of unimodular gravity vacuum energy does not gravitate.
Institutions: Instituto de Física Teórica, Universidad Autónoma de Madrid
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1175115578, InvisiblesPlus, G1723833981, G1746794430, G1936155967, G2262748287, G300979063, G3480869486, The Elusives Enterprise: Asymmetries of the Invisible Universe, G4042783231, G4167579290, G425668148, G434337789, G491712853, G5080475149, G5195188938, G5555131222, G5576883057, G5635532810, G5728959744, The Elusives Enterprise: Asymmetries of the Invisible Universe, InvisiblesPlus, G7084143925, G7805626310, G8497050386, G8684520763
OpenAlex ID: W3101575585