# Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies

@inproceedings{Lubbe2013ConformalSF, title={Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies}, author={Christian Lubbe}, year={2013} }

We analyse spacetimes with a conformal scalar field source, a cosmological constant and a quartic self-interaction term for the scalar field. We also consider additional matter contents in the form of Maxwell and Yang-Mills fields or radiation fluids. Existence theorems for weakly asymptotically flat spacetimes are given. We give a generalisation of Bekenstein’s result [Ann. Phys. 82, 535 (1974)] and use it to derive existence theorems for spacetimes that contain an isotropic singularity. The…

## 8 Citations

### Asymptotic structure and stability of spatially homogeneous space-times with a positive cosmological constant

- Mathematics, Physics
- 2023

We investigate the future asymptotics of spatially homogeneous space-times with a positive cosmological constant by using and further developing geometric conformal methods in General Relativity. For…

### Conformal Cyclic Cosmology, gravitational entropy and quantum information

- PhysicsGeneral Relativity and Gravitation
- 2023

We inspect the basic ideas underlying Roger Penrose’s Conformal Cyclic Cosmology from the perspective of modern quantum information. We show that the assumed loss of degrees of freedom in black holes…

### Geometric asymptotics and beyond

- Mathematics
- 2014

The analysis of Einstein's field equations in the context of Penrose's notion of asymptotic simplicity, which was originally intro- duced to provide a geometric setting for the investigation of…

### Conformal Methods in General Relativity with application to Conformal Cyclic Cosmology: A minicourse given at the IXth IMLG Warsaw 2018

- Mathematics
- 2021

In these lectures my aim is to review enough of conformal differential geometry in four dimensions to give an account of Penrose’s conformal cyclic cosmology. 1 Tensor calculus and conformal…

### The equations of Conformal Cyclic Cosmology

- PhysicsGeneral Relativity and Gravitation
- 2015

I review the equations of Conformal Cyclic Cosmology given by Penrose (Cycles of time: an extraordinary new view of the universe. Bodley Head, London, 2010). Motivated by the example of FRW…

### On the Dressed Photon Constant and Its Implication for a Novel Perspective on Cosmology

- PhysicsSymmetry
- 2021

The possibility that twin universes having a dual structure of (matter with (dark energy and matter)) vs. corresponding anti-entities, separated by an event horizon embedded in the geometric structure of de Sitter space, undergo endless cyclic processes of birth and death is shown.

### Introduction and sketch of Conformal Cyclic Cosmology

- Mathematics
- 2022

This article is an extended version of a talk given in Oxford in June 2021 as part of an online meeting ‘Ninety minutes of CCC’ to mark the 90th birthday of Sir Roger Penrose. I assemble some…

### Smooth Non-Zero Rest-Mass Evolution Across Time-Like Infinity

- PhysicsAnnales Henri Poincaré
- 2014

It is shown that solutions to Einstein’s field equations with positive cosmological constant can include non-zero rest-mass fields which coexist with and travel unimpeded across a smooth conformal…

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