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Topological Concepts in Gauge Theories
In these lecture notes, an introduction to topological concepts and methods in studies of gauge field theories is presented. The three paradigms of...
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Method of Invariant Grids
The method of invariant grids is developed for a grid-based computation of invariant manifolds.
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1 An Introduction to the Physics of the Early Universe
We present an elementary introduction to the Early Universe. The basic features of the hot Big Bang are reviewed in the framework of the fundamental...
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Mathematical Notation and Some Terminology
– The operator L from space W to space E: L : W → E
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Invariance Equation in Differential Form
Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...
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Entropy, Quasiequilibrium, and Projectors Field
Projection operators Py contribute both to the invariance equation (3.2), and to the film extension of the dynamics (4.5). Limiting results, exact...
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Chiral Anomalies and Topology
When a field theory has a symmetry, global or local like in gauge theories, in the tree or classical approximation formal manipulations lead to...
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7 Brane-World Cosmology
According to recent ideas from particle physics, the universe could be a higher-dimensional spacetime, with our observable part of the universe being...
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Course 15: Observations of the High Energy $\gamma$ -Ray Universe
This article describes the nature and current status of observational programs studying astrophysical high energy...
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Course 1: Accretion and Ejection-Related MHD
This lecture is an introduction to MHD. Relevant equations, both in the classical and special-relativistic regimes are derived. The magnetic field...
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Course 7: Cosmic Rays and Particle Acceleration at Astrophysical Shocks
The acceleration of particles in the vicinity of astrophysical shocks has become the main paradigm in astrophysics for the production of cosmic rays...
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Course 12: Evolution of YSO Disks
As stars and planets form from accretion processes in disks, it is important to understand these processes and their evolutionary implications. While...
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Course 11: Accretion Signatures in Young Stellar Objects
Mass accretion onto the star is taken place in young stellar objects, providing the energy needed to power the excess emission observed at all...
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Course 8: The Black Hole Environments
Compact objects are astrophysical entities with radii smaller than about 10 Schwarzschild radii. The mass spectrum of these objects ranges from the...
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Course 13: X-Rays from YSOS: Desperately Seeking the Central Engine
The earliest stages of the evolution of low-mass stars are characterized by the presence of powerful jets, likely originating from accretion via...
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Course 6: Gamma-Ray Bursts
This lecture is an introduction to the study of gamma-ray bursts. Observations of the burst and its afterglow are first reviewed, with the...
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Course 9: Accretion around Active Galactic Nuclei
In bright AGN, at distances of several Schwarzschild radii, the accretion onto a black hole proceeds predominantly in a form of a cool accretion...
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Introduction
We summarize the topics presented in this book, and when appropriate we enlighten cross–references among the different topics: high precision and...
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Cosmological Applications of Loop Quantum Gravity
After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes...