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Mathematical intuition behind Special and General Relativity [Updated 05.2023]

Posted By: IrGens
Mathematical intuition behind Special and General Relativity [Updated 05.2023]

Mathematical intuition behind Special and General Relativity [Updated 05.2023]
.MP4, AVC, 1280x720, 30 fps | English, AAC, 2 Ch | 18h 55m | 16.41 GB
Instructor: Emanuele Pesaresi

The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity

Posted By: AvaxGenius
The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity

The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity by Paul Ramond
English | EPUB (True) | 2023 | 408 Pages | ISBN : 3031179633 | 40.6 MB

The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles.

The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity

Posted By: AvaxGenius
The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity

The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity by Paul Ramond
English | PDF (True) | 2023 | 408 Pages | ISBN : 3031179633 | 7.2 MB

The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles.

Theory of Gravitational Interactions

Posted By: AvaxGenius
Theory of Gravitational Interactions

Theory of Gravitational Interactions by Maurizio Gasperini
English | PDF (True) | 2013 | 330 Pages | ISBN : 8847026903 | 3.01 MB

This reference textbook is an up-to-date and self-contained introduction to the theory of gravitational interactions. The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field. A second, advanced part then discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap which is present in the context of the traditional approach to general relativity, and which usually makes students puzzled about the role of gravity. The necessary notions of differential geometry are reduced to the minimum, leaving more room for those aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric generalization of the Einstein equations.

Introduction To General Relativity: Solutions To Problems

Posted By: Free butterfly
Introduction To General Relativity: Solutions To Problems

Introduction To General Relativity: Solutions To Problems by John Dirk Walecka
English | June 16, 2017 | ISBN: 9813227699 | 352 pages | PDF | 16 Mb

A Mathematical Introduction To General Relativity

Posted By: roxul
A Mathematical Introduction To General Relativity

Amol Sasane, "A Mathematical Introduction To General Relativity"
English | ISBN: 9811256721, 9811243778 | 2021 | 500 pages | PDF | 5 MB

Complex General Relativity (Repost)

Posted By: AvaxGenius
Complex General Relativity (Repost)

Complex General Relativity By Giampiero Esposito
English | PDF | 216 Pages | 2002 | ISBN : 0792333403 | 12 MB

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.
Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 – – space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language.

General Relativity and Matter: A Spinor Field Theory from Fermis to Light-Years (Repost)

Posted By: AvaxGenius
General Relativity and Matter: A Spinor Field Theory from Fermis to Light-Years (Repost)

General Relativity and Matter: A Spinor Field Theory from Fermis to Light-Years by Mendel Sachs
English | PDF | 1982 | 224 Pages | ISBN : 9048183707 | 21 MB

There exist essentially two levels of investigation in theoretical physics. One is primarily descriptive, concentrating as it does on useful phenomenological approaches toward the most economical classifications of large classes of experimental data on particular phenomena. The other, whose thrust is explanatory, has as its aim the formulation of those underlying hypotheses and their mathematical representations that are capable of furnishing, via deductive analysis, predictions - constituting the particulars of universals (the asserted laws)- about the phenomena under consideration.

Beyond Einstein Gravity: The Minimal Geometric Deformation Approach in the Brane-World (Repost)

Posted By: AvaxGenius
Beyond Einstein Gravity: The Minimal Geometric Deformation Approach in the Brane-World (Repost)

Beyond Einstein Gravity: The Minimal Geometric Deformation Approach in the Brane-World by Jorge Ovalle
English | PDF | 2020 | 120 Pages | ISBN : 3030394921 | 2.7 MB

This book serves two main purposes: firstly, it shows, in a simple way, how the possible existence of an extra-spatial dimension would affect the predictions of four-dimensional General Relativity, a model known as the Brane world; secondly, it explains, step-by-step, a new technique called Minimal Geometric Deformation, which was introduced for the purpose of solving the correspondingly modified Einstein field equations. This method gave rise to the Gravitational Decoupling in General Relativity, which is widely used to solve the Einstein field equations in various contexts.

Foundations of General Relativity : From Einstein to Black Holes

Posted By: readerXXI
Foundations of General Relativity : From Einstein to Black Holes

Foundations of General Relativity : From Einstein to Black Holes
by Klaas Landsman
English | 2021 | ISBN: 9083178927 | 394 Pages | True PDF | 23 MB

Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology

Posted By: roxul
Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology

Mike Guidry, "Modern General Relativity: Black Holes, Gravitational Waves, and Cosmology"
English | ISBN: 1107197899 | 2019 | 622 pages | PDF | 39 MB

New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics (Repost)

Posted By: AvaxGenius
New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics (Repost)

New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics by Vladas Sidoravičius
English | PDF | 2009 | 885 Pages | ISBN : 9048128099 | 14.6 MB

This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics.

Gravitational Theories Beyond General Relativity (Repost)

Posted By: AvaxGenius
Gravitational Theories Beyond General Relativity (Repost)

Gravitational Theories Beyond General Relativity by Iberê Kuntz
English | EPUB | 2019 | 82 Pages | ISBN : 3030211967 | 4.8 MB

Despite the success of general relativity in explaining classical gravitational phenomena, several problems at the interface between gravitation and high energy physics still remain open. The purpose of this thesis is to explore quantum gravity and its phenomenological consequences for dark matter, gravitational waves and inflation. A new formalism to classify gravitational theories based on their degrees of freedom is introduced and, in light of this classification, it is argued that dark matter is no different from modified gravity.

Mathematical predictions of General Relativity

Posted By: ELK1nG
Mathematical predictions of General Relativity

Mathematical predictions of General Relativity
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English + srt | Duration: 20 lectures (4h 13m) | Size: 2.97 GB

Tests of General Relativity: precession of perihelion of Mercury, bending of light, gravitational waves

Mathematical intuition behind Special and General Relativity

Posted By: IrGens
Mathematical intuition behind Special and General Relativity

Mathematical intuition behind Special and General Relativity
.MP4, AVC, 1280x720, 30 fps | English, AAC, 2 Ch | 11h 31m | 13.58 GB
Instructor: Emanuele Pesaresi