Overview
- Nominated as an outstanding PhD thesis by the Université PSL and Observatiore de Paris
- Includes a review of Isochrony in physics and a complete solution of Henon's isochrone problem
- Provides new extensions of the First Law of Mechanics for compact objects
Part of the book series: Springer Theses (Springer Theses)
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About this book
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 Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely ina geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits.
The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author’s personality in a way that is rare in scientific writing, while never sacrificing academic rigor.
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Table of contents (10 chapters)
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Front Matter
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The First Law of Mechanics in General Relativity
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Front Matter
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Isochrone Orbits in Newtonian Gravity
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Paul Ramond has a Masters degree in Biophysics and one in Theoretical Physics. He completed his PhD in 2022 at the Paris Observatory and Paris University. He now is a postdoc researcher in Paris Dauphine PSL University, with an expertise in the field of gravitational physics, notably the relativistic two-body problem and gravitational Hamiltonian mechanics. He is also engaged in a number of popularization projects (conferences, associations), and enjoys talking about his work to the general public and young students, in particular regarding the applications of science in medicine, biology and music.
Bibliographic Information
Book Title: The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity
Authors: Paul Ramond
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-031-17964-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-17963-1Published: 01 May 2023
Softcover ISBN: 978-3-031-17966-2Due: 01 June 2023
eBook ISBN: 978-3-031-17964-8Published: 30 April 2023
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XXVI, 393
Number of Illustrations: 8 b/w illustrations, 69 illustrations in colour
Topics: Classical and Quantum Gravitation, Relativity Theory, Classical and Continuum Physics, Astrophysics and Astroparticles, Astrophysics and Astroparticles