Geometry of Black Holes

Black holes are a fascinating prediction of Einstein's general theory of relativity, with strong evidence of their existence through observation of active galactic nuclei, gravitational waves, and others. This book provides a detailed, mathematically oriented, extended introduction to the subject, covering a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.

Format: Paperback / softback
Length: 416 pages
Publication date: 13 April 2023
Publisher: Oxford University Press

Black holes, a captivating prediction of Einstein's general theory of relativity, have garnered significant evidence through various observations. Active galactic nuclei, including the center of our galaxy, gravitational waves, and other celestial phenomena, provide compelling evidence of their existence. A vast scientific literature exists on black holes, encompassing numerous excellent textbooks at various levels. However, most of these texts avoid the mathematical intricacies required to transform the theory of black holes into a mathematical theory. Those that maintain a rigorous mathematical standard often focus on specific topics or overlook crucial details. This book aims to bridge this gap and offer a comprehensive, mathematically oriented, extended introduction to the subject. It provides a thorough background covering the current research in all mathematical aspects of the geometry of black hole spacetimes.

Black holes are celestial objects with an incredibly strong gravitational pull, formed by the collapse of massive stars. They are invisible to conventional telescopes because they emit no light. However, their presence can be inferred through their interactions with other matter and electromagnetic radiation. One of the most significant observations of black holes is the discovery of gravitational waves. Gravitational waves are ripples in spacetime caused by the acceleration of massive objects. In 2015, scientists detected the first gravitational waves from the merger of two black holes, providing a direct confirmation of Einstein's general theory of relativity.

Black holes also have profound implications for our understanding of the universe. They are believed to be the seeds of new galaxies, and their gravitational interactions shape the evolution of the cosmos. The study of black holes has led to many important discoveries, including the discovery of exoplanets, the study of dark matter and dark energy, and the development of new theories of gravity.

Despite the significant progress made in understanding black holes, many questions remain unanswered. For example, what is the exact nature of the event horizon, the boundary around a black hole from which nothing can escape? How do black holes form, and what determines their size and mass? What are the effects of black holes on the surrounding matter and radiation?

To address these questions, scientists continue to study black holes using a variety of techniques, including gravitational wave observations, X-ray and gamma-ray imaging, and computer simulations. They are also exploring the potential existence of intermediate-mass black holes, which could have important implications for our understanding of the early universe.

In conclusion, black holes are a fascinating and complex subject that continues to captivate scientists and the public alike. Their existence is confirmed through observation and their impact on the universe is profound. While many questions remain unanswered, continued research and exploration will help us to better understand the nature of these mysterious objects and their role in shaping the cosmos.

Weight: 812g
Dimension: 171 x 247 x 24 (mm)
ISBN-13: 9780198873204