Conformal scalar fields, isotropic singularities and conformal cyclic\n cosmologies

2013/12/07 by Christian Lübbe, Lübbe, Christian
Physics and Astronomy · #83C05 #83C22 #83C30 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc #hep-th #msc:83C05 #msc:83C22 #msc:83C30

paper · pdf · doi:10.48550/arxiv.1312.2059

18 pages, 2 figures

arxiv created 2013/12/07 · openalex publication_date 2013/12/07 · arxiv updated 2013/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse spacetimes with a conformal scalar field source, a cosmological\nconstant and a quartic self-interaction term for the scalar field. We also\nconsider additional matter contents in the form of Maxwell and Yang-Mills\nfields or radiation fluids. Existence theorems for weakly asymptotically flat\nspacetimes are given. We give a generalisation of Bekenstein's result [Ann.\nPhys. 82, 535 (1974)] and use it to derive existence theorems for spacetimes\nthat contain an isotropic singularity. The results are combined to suggest a\nmathematical setup for Penrose's CCC scenario using a conformal scalar field\ncosmology.\n

Citations

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Astrophysical black holes may radiate, but they do not evaporate
• A new improved energy-momentum tensor
• On the conformal structure of the extremal Reissner-Nordström spacetime

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