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Saturday, May 9, 2020 | History

10 edition of Spacetime and singularities found in the catalog.

Spacetime and singularities

an introduction

by Gregory L. Naber

  • 400 Want to read
  • 24 Currently reading

Published by Cambridge University Press in Cambridge [England], New York .
Written in English

    Subjects:
  • Space and time.,
  • General relativity (Physics),
  • Singularities (Mathematics)

  • Edition Notes

    Includes index.

    StatementGregory L. Naber.
    SeriesLondon Mathematical Society student texts ;, 11
    Classifications
    LC ClassificationsQC173.59.S65 N33 1988
    The Physical Object
    Paginationix, 178 p. :
    Number of Pages178
    ID Numbers
    Open LibraryOL2404654M
    ISBN 10052133327X, 0521336120
    LC Control Number87035321

    Abstract Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems.   The concept of a space-time singularity - where time and space itself become infinite and undifferentiated - is one of the most fascinated and confounding problems of modern physics.

    (1) Spacetime Singularities and Gravitational Collapse (Alphabetical) H. Bateman, The transformation of coordinates which can be used to transform one physical problem into another, Proc. London Math. Soc. 8 (), E. Cartan, Sur les espaces conformes généralisés et l'Univers optique, C. R. Acad. Sci. Paris (),   The Paperback of the Gravitational Collapse and Spacetime Singularities by Pankaj S. Joshi at Barnes & Noble. FREE Shipping on $35 or more! Due to COVID, orders may be :

    Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics. The Kerr spacetime: A brief introduction Matt Visser 2 1 Background The Kerr spacetime has now been with us for some 45 years [1,2]. It was discovered in through an intellectual tour de force, and continues to pro-vide highly nontrivial and challenging mathematical and physical problems to this Size: KB.


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Spacetime and singularities by Gregory L. Naber Download PDF EPUB FB2

This book is concerned primarily with a geometrical and in places, a topological approach to spacetime, leading to a full proof of one of Hawking's singularity first part introduces the geometry of Minkowski Spacetime as.

'a 4-dimensional ral vector space on which is defined a nondegenerate symmetric bilinear form of index one'.Some mathematical maturity is required to attempt Cited by: 5. Spacetime Singularities Pankaj S. Joshi1, ∗ 1Tata Institute of Fundamental Research, Homi Bhabha road, Colaba, MumbaiIndia We present here an overview of our basic understanding and recent developments on spacetime singularities in the Einstein theory of gravity.

Several issues related to physical significance andFile Size: KB. This book is concerned primarily with a geometrical and in places, a topological approach to spacetime, leading to a full proof of one of Hawking's singularity first part introduces the geometry of Minkowski Spacetime as.

'a 4-dimensional ral vector space on which is defined a nondegenerate symmetric bilinear form of index one'.Some mathematical maturity is required to attempt /5. Naber provides an elementary introduction to the geometrical methods and notions used in special and general relativity.

Particular emphasis is placed on the ideas concerned with the structure of space-time and that play a role in the Penrose-Hawking singularity theorems. The author's primary Price: $ SPACETIME SINGULARITIES: The STORY of BLACK HOLES We have already seen that the Big Bang is a kind of ’singularity’ in the structure of spacetime.

To the question "what was before the Big Bang?", one can reply, at least in the context of GR, that the question actually has no meaning - that time has no meaning ’before’ the Big Size: 2MB.

This book is an elementary introduction to thegeometrical methods and notions used in special and general relativity. Particular emphasis is placed on the ideas concerned with the structure of spacetime and those which play a role in the Penrose-Hawking singularity theorems.

The books gives a rigorous proof of the simplest of these ts: by: The theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity if it is impossible to continue the space-time and geodesic without violating the usual topological and smoothness conditions on the space-time.

In this book the different possible singularities are defined, and the mathematical methods needed to. The present understanding of the status of spacetime singularities is reviewed.

The term 'spacetime singularity' is defined, the ideal-point prescription for adjoining the boundary points representing singularities to an (inextendable) spacetime manifold is outlined, and examples of the ideal-point structure of several familiar spacetimes are : Penrose, R.

In §, we discuss the problem of defining singularities in space–time. We adopt b-incompleteness, a generalization of the idea of geodesic incompleteness, as an indication that singular points have been cut out of space–time, and characterize two possible ways in which b-incompleteness can be associated with some form of curvature Cited by: 2.

This book investigates these issues, and shows how the visible ultra-dense regions arise naturally and generically as an outcome of dynamical gravitational collapse. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and : Pankaj S.

Joshi. We give here an overview of our basic understanding of and recent developments in spacetime singularities in the Einstein theory of gravity. Several issues related to physical significance and implications of singularities are discussed.

Get this from a library. Gravitational collapse and spacetime singularities. [Pankaj S Joshi] -- Physical phenomena in astrophysics involve gravitational collapse in a fundamental way.

The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of. Singularities can be found in all the black-hole spacetimes, the Schwarzschild metric, the Reissner–Nordström metric, the Kerr metric and the Kerr–Newman metric and in all cosmological solutions that do not have a scalar field energy or a cosmological constant.

We're assuming spacetime comes in one connected piece. Stephen Hawking: Singularities and the geometry of spacetime 3 2 An outline of Riemannian geometry Manifolds Essentially,amanifold isa Rn denote Euclidean space of n dimensions, that is, the set of all n-tuples (u1,u2,un) with the usual topology.

Find many great new & used options and get the best deals for The Edge of Infinity: Naked Singularities and the Destruction of Spacetime by P. Davies (, Book, Illustrated) at the best online prices at eBay.

Free shipping for many products. I have answered this elsewhere: answer to What is a black hole singularity. To save a click, here it is A Little Guide to Singularities There are numerous questions and answers involving black hole singularities that misunderstand the basic physi.

Spacetime and singularities: an introduction. [Gregory L Naber] This book is an elementary introduction to the geometrical methods and notions used in special and general relativity.

The geometry of Minkowski spacetime Some concepts from relativistic mechanics. the stress-energy density is positiv e in an integrated sense, then still spacetime singularities do occur (for a discussion and references, see e.g. Joshi, ). The Analysis of Space-Time Singularities book. Read reviews from world’s largest community for readers.

The theorems of Hawking and Penrose show that spa Ratings: 0. Physical phenomena in astrophysics and cosmology involve gravitational collapse in a fundamental way. The final fate of a massive star when it collapses under its own gravity at the end of its life cycle is one of the most important questions in gravitation theory and relativistic astrophysics, and is the foundation of black hole physics.

Space-time singularities. "pathological " spacetime s tha t ca n b e constructe d a s counter-example s t o seeming- singularities. A furthe r condition, rathe r weake r tha n th e Hausdor.Hawking promised that his and Penrose's lectures and debate would be technical, and he delivered on that promise.

I liked the book because it's always entertaining to read two great minds bicker a little bit, and I did learn some information about black and white holes, singularities, and the origins of the universe, but I didn't understand most of the book/5.

The aim of this essay is to investigate certain aspects of the geometry of the spacetime manifold in the General Theory of Relativity with particular reference to the occurrence of singularities in cosmological solutions and their relation with other global properties. Section 2 gives a brief outline of Riemannian geometry.

In Section 3, the General Theory of Relativity is presented in the Cited by: 9.