Introduction to Black Holes
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About this ebook
The following topics are presented in this book:
basics of black holes: gravitational collapse, event horizon, geodesics
Schwarzschild, Reissner-Nordstrom and Kerr-Newman metrics
spherically symmetric, rotating and electrically charged black holes
Carter-Penrose diagrams, naked singularities and Kruskal coordinates
mechanics of black holes
thermodynamics of black holes and Hawking radiation
quantum black holes
Simone Malacrida
Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.
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Introduction to Black Holes - Simone Malacrida
Table of Contents
Table of Contents
Introduction to Black Holes
INTRODUCTION
SCHWARZSCHILD'S BLACK HOLES
ELECTRICALLY CHARGED BLACK HOLES
ROTATING BLACK HOLES
BLACK HOLE MECHANICS
HAWKING'S RADIATION
Introduction to Black Holes
Introduction to Black Holes
SIMONE MALACRIDA
The following topics are presented in this book:
basics of black holes: gravitational collapse, event horizon, geodesics
Schwarzschild, Reissner-Nordstrom and Kerr-Newman metrics
spherically symmetric, rotating and electrically charged black holes
Carter-Penrose diagrams, naked singularities and Kruskal coordinates
mechanics of black holes
thermodynamics of black holes and Hawking radiation
quantum black holes
Simone Malacrida (1977)
Engineer and writer, has worked on research, finance, energy policy and industrial plants.
ANALYTICAL INDEX
––––––––
INTRODUCTION
––––––––
I – SCHWARZSCHILD'S BLACK HOLES
Gravitational collapse
Geodesics
Schwarzschild metric
Krusk coordinates in spacetime
Carter-Penrose diagrams
Event horizon
naked singularities
––––––––
II - ELECTRICALLY CHARGED BLACK HOLES
Reissner-Nords metric t rom
Cauchy horizon
Isotropic coordinates
––––––––
III - ROTATING BLACK HOLES
Uniqueness theorem
Kerr solutions
Ergosphere
Penrose process
––––––––
IV - BLACK HOLE MECHANICS
Energy and angular momentum
Geodetic congruences
The laws of black hole mechanics
––––––––
V - HAWKING'S RADIATION
Quantization of a scalar field
particle production
Hawking radiation
The thermodynamics of black holes
INTRODUCTION
INTRODUCTION
This book presents a broad overview of black holes, starting from the mathematical and physical concepts that indicate their presence in spacetime up to their properties.
Among the most exotic
celestial objects, black holes have represented an immense theoretical challenge for general relativity.
In fact, this discipline, born to describe spacetime at every point, without any distinction, must bow to the existence of singularities foreseen by the various metric solutions of its own equations.
For years there have been neither experimental findings nor physical theories capable of understanding the properties of black holes.
However, from the 1970s onwards, the application of quantum field theory to black holes has made it possible to understand some fundamental mechanisms such as Hawking radiation and the thermodynamics of black holes.
In addition, the refinement of some formalisms (Carter-Penrose diagrams for example) has allowed us to describe their main properties.
All of this is far from a comprehensive understanding of such celestial objects.
To date, there are no univocal theories that allow to describe what really happens in the presence of a spacetime singularity, mainly due to the fact that quantum general relativity has not yet been enunciated as a consistent physical theory.
The problems relating to black holes therefore intersect with other fundamental aspects of contemporary physics, such as the unification of forces, a probable theory of everything that explains the physical mechanisms of the Universe and