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Cosmological and Black Hole Apparent Horizons (2015)

Cosmological and Black Hole Apparent Horizons

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"Cosmological and Black Hole Apparent Horizons" by Valerio Faraoni 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 overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.

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Best For: Researchers and students in theoretical physics and cosmology focusing on gravitational phenomena.
Focus: Generalizing the concept of event horizons to apparent horizons in dynamic gravitational contexts.
Covers: Apparent horizons in cosmology and black holes, including gravitational collapse, black hole evaporation, and interactions with complex environments.
Why It Matters: Provides a comprehensive overview of apparent horizons essential for understanding dynamic processes in gravity and astrophysics beyond static event horizons.

"Cosmological and Black Hole Apparent Horizons" by Valerio Faraoni 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: Valerio Faraoni

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 overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.

AuthorValerio Faraoni
PublisherSpringer
Published2015-07-14
ISBN-139783319192390
BindingPaperback
LanguageEnglish
SubjectsScience
TopicDeep Sky & Solar System
SeriesLecture Notes in Physics

Format: Paperback

Language: English

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