AstroNuclPhysics ® Nuclear
Physics  Astrophysics  Cosmology

The book introduces a wide range of issues related to the general theory of relativity  the physics of gravity, spacetime and the laws of origin, construction and evolution of the universe and cosmic bodies. After an initial analysis of the relationship between gravity and other physics, especially electromagnetism and special theory of relativity (in classical vector and fourdimensional tensor formulation), Einstein's general theory of relativity is discussed in detail  consequences of the principle of equivalence, physical laws in curved spacetime, gravitational field equations, specific properties of gravitational energy, origin and propagation of gravitational waves. The chapter on geometry and topology of spacetime analyzes the properties of some significant solutions of Einstein's equations, causality and global structure of spacetime, horizons, asymptotic properties of different types of infinity, geometrictopological tunnels and possibilities of multiple universes, the problem of spacetime singularities and other issues important for the properties of the universe and black holes. Then the physics of black holes is discussed in detail, as the most extreme manifestation of gravitational properties  evolution of stars and gravitational collapse, black holes of static Schwarzschild and rotating KerovNewman, exotic phenomena around black holes, laws of dynamics and thermodynamics of black holes, quantum evaporation of black holes, astrophysical significance of black holes. The last chapter is devoted to the relationship between gravity and the global structure of the universe  relativistic cosmology. In addition to relativistic cosmological solutions and the standard model of the universe, the relationships between microphysics and cosmology, inflationary expansion, the anthropogenic principle and the possibilities of the existence of more universes are also discussed. Finally, the two appendices discuss Mach's principle, the quantization of the gravitational field, and the problems of unitary field theories. The main goal of this monograph is to show readers how interesting and fundamental force gravity is, how deep its connections are with the properties of spacetime and the structure of the universe, and where to look for the nature and origin of gravity. In many places, the physicalmathematical interpretation is enlivened by passages discussing the gnoseological, philosophical and generalscientific aspects of relevant theories and findings  questions of infinity, cognition, determinism and chance or chaos, time travel, many universes, perspectives of life in universe ... The book "Gravity, Black Holes and the Physics of Spacetime" is intended primarily for physicists working in various fields, astronomers, lecturers, students and all those more seriously interested in the theory of relativity, gravity, astrophysics, cosmology and the fundamental laws of nature. 
Annotation
Foreword
List of symbols and designations
Gravity and its
place in physics
1.1. Development
of knowledge about nature, space, gravity
1.2. Newton's
law of gravitation
1.3. Mechanical
LeSage hypothesis of the nature of gravity
1.4. Analogy
between gravity and electrostatics
1.5. Electromagnetic
field. Maxwell's equations.
1.6. Fourdimensional
spacetime and special theory of relativity
General theory of
relativity 
physics of gravity
2.1. Acceleration
and gravity from the point of view of special theory of
relativity
2.2. Versatility
 a basic property and the key to understanding the
nature of gravity
2.3. The
local principle of equivalence and its consequences
2.4. Physical
laws in curved spacetime
2.5. Einstein's
equations of the gravitational field
2.6. Deviation
and focus of geodesics
2.7. Gravitational
waves
2.8. Specific
properties of gravitational energy
2.9.Geometrodynamic system of units
2.10. Experimental
verification of the theory of relativity and gravity
Geometry and
topology of spacetime
3.1. Geometrictopological
properties of spacetime
3.2. Minkowski
planar spacetime and asymptotic structure
3.3. Cauchy's
problem, causality and horizons
3.4. Schwarzschild
geometry
3.5. ReissnerNordström
geometry
3.6. Kerr
and KerrNewman geometry
3.7. Spatiotemporal
singularities
3.8. Hawking's
and Penrose's theorems on singularities
3.9. Naked
singularities and the principle of "cosmic
censorship"
Black holes
4.1. The
role of gravity in the formation and evolution of stars
4.2. The
final stages of stellar evolution. Gravitational
collapse. Formation of a black
hole.
4.3. Schwarzschild
static black holes
4.4. Rotating
and electrically charged KerrNewman black holes
4.5. The
"black hole has no hair" theorem
4.6. Laws
of black hole dynamics
4.7. Quantum
radiation and thermodynamics of black holes
4.8. Astrophysical
significance of black holes
4.9. Total
gravitational collapse  the biggest catastrophe in
nature
Gravity
and the Global Structure of the Universe:
Relativistic
Cosmology
5.1. Basic
principles and principles of cosmology
5.2. Einstein's
and deSitter's universe. Cosmological
constant.
5.3. Friedman's
dynamic models of the universe
5.4. Standard
cosmological model. Big
Bang. Forming the structure
of the universe.
5.5. Microphysics
and cosmology. Inflationary
universe.
5.6. The
future of the universe. Time
arrow. Hidden matter.
5.7. Anthropic
principle and existence of multiple universes
5.8. Cosmology
and physics
Additions :
Mach's principle
and general theory of relativity
A.1. Mach's
principle and the origin of inertia
A.2. BransDicke's theory of gravitation
A.3. Mach's principle and experiment; inertia anisotropy
A.4. The status of Mach's principle in the
general theory of relativity
Unitary field
theory and quantum gravity
B.1. The
process of unification in physics
B.2. Einstein's
visions of geometric unitary field theory
B.3. Wheeler's
geometrodynamics. Gravity
and topology.
B.4. Quantum
geometrodynamics
B.5. Gravitational
field quantization
B.6. Unification
of fundamental interactions. Supergravity.
Superstrings.
B.7. General
principles and perspectives of unitary field theory
á The actual texts of individual chapters of the book are invoked by clicking on the appropriate item in the table of content á
Author's apology:
***************************************
The book was created at a time when there were no text editors
yet and electronic form of information. The manuscript was
transcribed into typescript, which was made into matrices from
which offset printing took place.
In order to create an electronic form, it was necessary to scan
the printed pages of the book into a computer, convert it using
optical character recognition ( Recognita program) into
alphanumeric form, correct conversion errors, process with a
suitable text editor and convert to "html" format.
Images had to be captured separately, processed by a graphic
editor and implanted in the text. There were big problems with
the formulas that fell apart during the conversion. Some formulas
have so far been copied from the printed version, it will be
further modified. The whole thing was very laborious and
demanding!
Some new findings and concepts arose only after the writing of
the manuscript of the book "Gravity, Black Holes and the
Physics of Spacetime", so it was not included in the first
book edition. At the ends of the relevant chapters and
continuously in the text, these findings are gradually
supplemented.
A number of errors may occurred during the transfer, I will
gradually try to put it right  it will take some time.
Thank you for understanding , Ullmann V.
***********
Gravity, black holes and spacetime physics :  
Gravity in physics  General theory of relativity  Geometry and topology 
Black holes  Relativistic cosmology  Unitary field theory 
Anthropic principle or cosmic God  
Nuclear physics and physics of ionizing radiation  
AstroNuclPhysics ® Nuclear Physics  Astrophysics  Cosmology  Philosophy 