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Scalar Fields in Numerical General Relativity: Inhomogeneous Inflation and Asymmetric Bubble Collapse (2018)

Scalar Fields in Numerical General Relativity

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"Scalar Fields in Numerical General Relativity" by Katy Clough is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest. In this thesis, the author investigates the initial condition problem in early universe cosmology – whether an inflationary expansion period could have “got going” from initially inhomogeneous conditions – and identifies criteria for predicting the robustness of particular models. State-of-the-art numerical relativity tools are developed in order to address this question, which are now publicly available.

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Best For: Researchers and graduate students in cosmology and gravitational physics
Focus: Application of numerical relativity methods to cosmological problems, including inflationary physics
Covers: Solving Einstein’s Equation for matter and energy evolution on cosmological scales and in strong gravitational fields
Why It Matters: Provides one of the first numerical relativity studies of inflation, advancing computational approaches in general relativity and cosmology

"Scalar Fields in Numerical General Relativity" by Katy Clough is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Deep Sky & Solar System

Author: Katy Clough

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest. In this thesis, the author investigates the initial condition problem in early universe cosmology – whether an inflationary expansion period could have “got going” from initially inhomogeneous conditions – and identifies criteria for predicting the robustness of particular models. State-of-the-art numerical relativity tools are developed in order to address this question, which are now publicly available.

AuthorKaty Clough
PublisherSpringer
Published2018-06-26
ISBN-139783319926711
BindingHardcover
LanguageEnglish
SubjectsScience
TopicDeep Sky & Solar System
SeriesSpringer Theses

Format: Hardcover

Language: English

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