Eternity and the cosmological constant

2009/07/31 by Enrique Álvarez, Enrique Alarcón Álvarez, Roberto Vidal
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Constant (computer programming) #Continuation #Cosmological constant #Cosmology and Gravitation Theories #Epistemology #Eternity #Mathematical physics #Philosophy #Physics #Relativity and Gravitational Theory #Stability (learning theory) #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/10/045

published as JHEP 0910:045,2009 · 45 pages, 6 figures

arxiv created 2009/09/21 · openalex publication_date 2009/10/16 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The purpose of this paper is to analyze the stability of interacting matter in the presence of a cosmological constant. Using an approach based on the heat equation, no imaginary part is found for the effective potential in the presence of a fixed background, which is the n-dimensional sphere or else an analytical continuation thereof, which is explored in some detail.

Citations

• Quantum Gravity In De Sitter Space
• Stability of gravity with a cosmological constant
• Quantum Fields in Curved Space
• Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter group SO(N,1)
• Can One Hear the Shape of a Drum?
• The heat kernel on symmetric spaces via integrating over the group of isometries
• Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
• de Sitter vacua in string theory
• Massless minimally coupled fields in de Sitter space: O(4)-symmetric states versus de Sitter–invariant vacuum
• Can One Hear the Shape of a Drum?