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Einstein Equations

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/9780199692293.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In this Chapter we ‘derive’ the Einstein equations, study their weak field approximation, and briefly discuss gravitational waves and their generation. We finish the Chapter by remarks on the higher ... More


The Bride Stripped Bare

Nicholas Mee

in Celestial Tapestry: The Warp and Weft of Art and Mathematics

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198851950
eISBN:
9780191886690
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198851950.003.0020
Subject:
Physics, History of Physics

Hinton’s writing on higher dimensions influenced artists as well as writers. Chapter 19 looks at how higher-dimensional geometry influenced the development of the visual arts in the twentieth ... More


Spherically Symmetric 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/9780199692293.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

To derive spherically symmetric solutions of the Einstein equations the dimensional reduction is used. The Birkhoff theorem is proved, which shows that any vacuum spherically symmetric solution ... More


On Oscillatory Integral Operators in Higher Dimensions

Jean Bourgain

Charles Fefferman, Alexandru D. Ionescu, D. H. Phong, and Stephen Wainger (eds)

in Advances in Analysis: The Legacy of Elias M. Stein

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.003.0003
Subject:
Mathematics, Numerical Analysis

This chapter discusses the progress made towards problems originating from Stein's seminal paper, “Some problems in harmonic analysis.” It is by now well-known that the mapping properties of Fourier ... More


Probabilistic Graphical Models for Genetics, Genomics, and Postgenomics

Raphaël Mourad (ed.)

Published in print:
2014
Published Online:
December 2014
ISBN:
9780198709022
eISBN:
9780191779619
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198709022.001.0001
Subject:
Mathematics, Probability / Statistics, Biostatistics

At the crossroads between statistics and machine learning, probabilistic graphical models provide a powerful formal framework to model complex data. Probabilistic graphical models are probabilistic ... More


Wave Function Realism in a Relativistic Setting

Alyssa Ney

in The Foundation of Reality: Fundamentality, Space, and Time

Published in print:
2020
Published Online:
May 2020
ISBN:
9780198831501
eISBN:
9780191869273
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198831501.003.0009
Subject:
Philosophy, Metaphysics/Epistemology

The purpose of the present chapter is to respond to a thread of recent criticism against one candidate framework for interpreting quantum theories, a framework introduced and defended by David Albert ... More


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