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GRAVITATIONAL WAVE EXTRACTION

Miguel Alcubierre

in Introduction to 3+1 Numerical Relativity

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199205677
eISBN:
9780191709371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205677.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Gravitational waves are one of the most important physical phenomena associated with the presence of strong and dynamic gravitational fields, and as such they are of great interest in numerical ... More


An Iterative Decomposition of Global Conformal Invariants: The First Step

Spyros Alexakis

in The Decomposition of Global Conformal Invariants (AM-182)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153476
eISBN:
9781400842728
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153476.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter fleshes out the strategy of iteratively decomposing any P(g) = unconverted formula 1 for which ∫P(g)dVsubscript g is a global conformal invariant. It makes precise the notions of better ... More


The Second Step: The Fefferman-Graham Ambient Metric and the Nature of the Decomposition

Spyros Alexakis

in The Decomposition of Global Conformal Invariants (AM-182)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153476
eISBN:
9781400842728
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153476.003.0003
Subject:
Mathematics, Geometry / Topology

This chapter proves (1.17) when the worst terms in P(g) involve only factors of the differentiated Weyl tensor. This case is much harder than the previous one; in particular, in this case we need ... More


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