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Rotating Black Holes

Valeri P. Frolov and Andrei Zelnikov

in Introduction to Black Hole Physics

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199692293
eISBN:
9780191731860
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199692293.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The Chapter is devoted to rotating black holes, their properties, global structure, and study particle and light motion in their gravitational field. We introduce and explain notions of the horizon ... More


Hamilton–Jacobi theory

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0009
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the Hamilton-Jacobi equation. Euler's two centre problem is solved by using separation of variables in the elliptical co-ordinate system. The connection to the eikonal equation ... More


Differential equations in physics

Chun Wa Wong

in Introduction to Mathematical Physics: Methods & Concepts

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199641390
eISBN:
9780191747786
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641390.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Ordinary and partial differential equations appear in physics as equations of motion or of state. They are often linear differential equations for which a sum of solutions remains a solution. The ... More


Analytic Elements from Separation of Variables

David R. Steward

in Analytic Element Method: Complex Interactions of Boundaries and Interfaces

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Separation of variables provides influence functions for analytic elements, which extend the solutions available with complex functions to problems involving the Helmholtz and modified Helmholtz ... More


Some essential mathematics

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces most of the important mathematics that will be used repeatedly throughout this book. Whilst scalars like the electric potential Ф and the vector fields E and B are familiar ... More


Wave Mechanics & Elements of Mathematical Physics

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents an in-depth look at classical wave mechanics and mathematical physics, containing key examples directly relevant to molecular physics. The separation of variables is used to ... More


Analytic Element Method: Complex Interactions of Boundaries and Interfaces

David R. Steward

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198856788
eISBN:
9780191890031
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198856788.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Analytic Element Method provides a foundation to solve boundary value problems commonly encountered in engineering and science. The goals are: to introduce readers to the basic principles of the ... More


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