2 edition of **wave equation on a curved space-time** found in the catalog.

wave equation on a curved space-time

F. G. Friedlander

- 240 Want to read
- 15 Currently reading

Published
**1975**
by Cambridge University Press in Cambridge [Eng.], New York
.

Written in English

- Space and time.,
- Wave equation.,
- Relativity (Physics)

**Edition Notes**

Statement | F. G. Friedlander. |

Series | Cambridge monographs on mathematical physics, Cambridge monographs on mathematical physics |

The Physical Object | |
---|---|

Pagination | ix, 282 p. ; |

Number of Pages | 282 |

ID Numbers | |

Open Library | OL17639307M |

Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by A. Lichnerowicz II. Maxwell's equations and electromagnetic waves over a curved space-time. III. Einstein's equations and the Leray theorem. IV. Gravitational and electromagnetic shock waves. V. The aim of this book is to give a self-contained introduction to the. In this work we study the Dirac equation in a curved static space–time, where the metric depends on two arbitrary functions f(r) and g(r), namely the line element is ds²=e2f(r)dt²−e2g(r)dr².

Maxwell equations in Riemannian space-time, geometrical modeling of medias which depends upon ten functions, components of 2-rank metrical tensor gﬁﬂ(x). The main idea of general relativity is that metrical structure gﬁﬂ(x) of a physical space-time should be solution of the Einstein-Hilbert equation. A formula is obtained for the retarded solution of the scalar wave equation in a curved space-time, with boundary conditions appropriate to the case of asymptotic flatness. By means of a conformal transformation, the retarded solution is evaluated in the slow-motion expansion.

Quantum field theory in curved space-time [1,2,3,4,5] is often considered as an opportunity to study an interplay between gravitation, space-time and quantum theory in order to gain insights and intuitions into the quantum geometry of space-time and study of various formulations of quantum fields on curved backgrounds should allow us to identify the concepts and mathematical. New fundamental HD wave equation for a scalar wave function in curved space-time is obtained HD QFT in globally hyperbolic space-time and in a spatially flat Roberston-Walker space-time are formulated HD QFT describes scalar fields that may represent matter (particles and anti-particles) and tachyonic fields (tachyons and anti-tachyons).

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Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time. One of the most basic of these processes is wave propagation, and this book gives a rigourous discussion of the local effects of curvature on the behaviour of by: Transactions of the London Mathematical Society; Journal of Topology; Mathematika; LMS Membership; ; Book reviews.

THE WAVE EQUATION ON A CURVED SPACE‐TIME. Jones. Search for more papers by this author. Jones. Search for Author: D. Jones. Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time. One of the most basic of these processes is wave propagation, and this book gives a rigourous discussion of the local effects of curvature on the behaviour of waves.

E-books. Browse e-books; Series Descriptions; Book Program; MARC Records; FAQ; Proceedings; Analysis of Chebyshev Collocation Methods for Parabolic Equations Wanderings of a Markov Process The Wave Equation on a Curved Space-Time (F.

Friedlander) Related : Donald A. Ludwig. ADS Classic is now deprecated. It will be completely retired in October Please redirect your searches to the new ADS modern form or the classic info can be found on our blog. E-books. Browse e-books; Series Descriptions; Book Program; MARC Records; FAQ; Proceedings; On the Behavior of Principal Fundamental Solutions of Elliptic Equations Qualitative Methods in Nonlinear Mechanics (J.

Tinsley Oden) The Wave Equation on a Curved Space-Time (F. Friedlander) Related Databases. Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time.

One of the most basic of these processes is wave propagation, and this book gives a rigourous discussion of the local effects of curvature on the behaviour of waves/5(2).

adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. Bulletin of the London Mathematical Society; Journal of the London Mathematical Society; Bulletin of the London Mathematical Society. Volume 9, Issue 2. Book reviews.

THE WAVE EQUATION ON A CURVED SPACE‐TIME. Jones. Search for more papers by this : D. Jones. A scalar wave equation is considered on the background of some Bianchi‐type I universe with regard to which its time‐symmetric Green's function can be obtained exactly (N ARIAI ).

THE EXPLICITLY KNOWN GREEN'S FUNCTION CONSTITUENTS ARE EXPANDED UP TO A CERTAIN ORDER OF A PARAMETER ε MARKING THE DEVIATIONS OF THE BIANCHI‐TYPE METRIC FROM THE Cited by: 1. This book was originally published in In Einstein's General Theory of Relativity the effects of gravitation are represented by the curvature of space-time.

Physical processes occurring in the presence of gravitation must then be treated mathematically in terms of their behaviour in a curved space-time.

One of the most basic of these processes is wave propagation, and this book gives a. Bull. Amer. Math. Soc. Vol Number 2 (), Review: F. Friedlander, The wave equation on a curved space-time Avron DouglisCited by: 4. {{Citation | title=The wave equation on a curved space-time / F.

Friedlander | author1=Friedlander, F. (Friedrich Gerard), | year= | publisher=Cambridge University Press | language=English }}. This book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role.

This book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of. In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime.

He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an 4/5(4).

curved spacetime backgrounds. Then the wave equation and quantization of the Maxwell ﬁeld in ﬂat spacetimes is discussed. It follows a review of J. DIMOCK’s quantization of the Maxwell ﬁeld on curved spacetimes and then we come to our main result: We show.

The motion of point particles in curved spacetime Eric Poisson, Adam Pound, and Ian Vega a homogeneous wave equation, it can be thought of as a free eld that interacts with the particle; it is 14 Scalar Green’s functions in curved spacetime 70 Green’s equation for a massless scalar eld in curved spacetime.

Second, whereas equation () appears to make sense only if u is differentiable, the solution formula () requires no differentiability of u0. In general, we allow for discontinuous solutions for hyperbolic problems. An example of a discontinuous solution is a shock wave, which is a feature of solutions of nonlinear hyperbolic equations.

Electromagnetic ﬁelds in curved spacetimes Christos G Tsagas∗ DAMTP, Centre for Mathematical Sciences, University of Cambridge Wilberforce Road, Cambridge CB3 0WA, UK Abstract We study the evolution of electromagnetic ﬁelds in curved spacetimes and calculate the exact wave equations of the associated electric and magnetic components.

Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time (Mathematical Physics Studies) or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid.

The main equations, for the different studied phenomena, constitute a hyperbolic system and the study of a formal Cauchy problem is Cited by: Abstract: The usual way to write the wave equations of relativistic quantum mechanics in a curved spacetime is by covariantization: the searched equation in curved spacetime should coincide with the flat-spacetime version in coordinates where the connection cancels at the event X considered.

This is connected with the equivalence the Dirac equation with standard (spinor.The wave equation in this form also bears some resemblance to the Lorentz force in curved spacetime where A a plays the role of the 4-position.

For the case of a metric signature in the form (+, - - -), the derivation of the wave equation in curved spacetime is carried out in the article.