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| Author | : Markus Heusler |
| Publisher | : Cambridge University Press |
| Total Pages | : 267 |
| Release | : 1996-07-25 |
| Genre | : Science |
| ISBN | : 0521567351 |
A self-contained introduction to the mathematical theory of black holes.
| Author | : Joao Lopes Costa |
| Publisher | : |
| Total Pages | : |
| Release | : 2010 |
| Genre | : |
| ISBN | : |
| Author | : Wing-Chung Fong |
| Publisher | : |
| Total Pages | : 408 |
| Release | : 2004 |
| Genre | : Mathematical physics |
| ISBN | : |
| Author | : Petya Nedkova |
| Publisher | : Springer Nature |
| Total Pages | : 250 |
| Release | : |
| Genre | : |
| ISBN | : 3031614925 |
| Author | : Sean Alan Hayward |
| Publisher | : World Scientific |
| Total Pages | : 265 |
| Release | : 2013 |
| Genre | : Science |
| ISBN | : 9814425702 |
Black holes, once just fascinating theoretical predictions of how gravity warps space-time according to Einstein's theory, are now generally accepted as astrophysical realities, formed by post-supernova collapse, or as supermassive black holes mysteriously found at the cores of most galaxies, powering active galactic nuclei, the most powerful objects in the universe. Theoretical understanding has progressed in recent decades with a wider realization that local concepts should characterize black holes, rather than the global concepts found in textbooks. In particular, notions such as trapping horizon allow physically meaningful quantities and equations, describing how a black hole evolves. This has led to discoveries in fields as diverse as classical and numerical general relativity, differential geometry, thermodynamics, quantum field theory, and quantum gravity. There is heretofore no one volume which covers all the main aspects, so this volume collects together summaries and recent research, each chapter written by an expert or experts in a given field. This is intended for readers at a graduate level upwards, who wish to learn about the wide range of research concerning black holes.
| Author | : Friedrich W. Hehl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 540 |
| Release | : 1998-11-26 |
| Genre | : Science |
| ISBN | : 9783540651581 |
This book addresses graduate students in the first place and is meant as a modern compendium to the existing texts on black hole astrophysics. The authors present in pedagogically written articles our present knowledge on black holes covering mathematical models including numerical aspects and physics and astronomical observations as well. In addition, in their write-up of a panel discussion the participants of the school address the existence of black holes consenting that it has by now been verified with certainty.
| Author | : Daniel Grumiller |
| Publisher | : Springer Nature |
| Total Pages | : 431 |
| Release | : 2022-11-07 |
| Genre | : Science |
| ISBN | : 3031103432 |
This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning. The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.
| Author | : M. A. H. MacCallum |
| Publisher | : CUP Archive |
| Total Pages | : 440 |
| Release | : 1987-09-24 |
| Genre | : Science |
| ISBN | : 9780521332965 |
| Author | : Klaas Landsman |
| Publisher | : Radboud University Press |
| Total Pages | : 394 |
| Release | : 2021-10-08 |
| Genre | : Science |
| ISBN | : 9083178927 |
This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
| Author | : Eleftherios Papantonopoulos |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 520 |
| Release | : 2009-01-28 |
| Genre | : Science |
| ISBN | : 3540884599 |
Black Holes are still considered to be among the most mysterious and fascinating objects in our universe. Awaiting the era of gravitational astronomy, much progress in theoretical modeling and understanding of classical and quantum black holes has already been achieved. The present volume serves as a tutorial, high-level guided tour through the black-hole landscape: information paradox and blackhole thermodynamics, numerical simulations of black-hole formation and collisions, braneworld scenarios and stability of black holes with respect to perturbations are treated in great detail, as is their possible occurrence at the LHC. An outgrowth of a topical and tutorial summer school, this extensive set of carefully edited notes has been set up with the aim of constituting an advanced-level, multi-authored textbook which meets the needs of both postgraduate students and young researchers in the fields of modern cosmology, astrophysics and (quantum) field theory.
