The University of Southampton
University of Southampton Institutional Repository

Excision without excision

Excision without excision
Excision without excision
We analyze and apply an alternative to black hole excision based on smoothing the interior of black holes with arbitrary -- possibly constraint violating -- initial data, and solving the vacuum Einstein evolution equations everywhere. By deriving the constraint propagation system for our hyperbolic formulation of the BSSN evolution system we rigorously prove that the constraints propagate causally and so any constraint violations introduced inside the black holes cannot affect the exterior spacetime. (This does not follow from the causal structure of the spacetime as is often assumed.) We present numerical evolutions of Cook-Pfeiffer binary black hole initial configurations showing that these techniques appear to work robustly for generic data. We also present numerical evidence from spherically symmetric evolutions that for the gauge conditions used the same stationary end-state is approached irrespective of the choice of initial data and smoothing procedure.
numerical relativity, black Holes, excision
1550-7998
081503(R)
Brown, David
68e8f8ee-6aaf-45e4-9aee-7f76e39ddefe
Sarbach, Olivier
9b1b946c-5ff3-4eeb-b685-915c662edff8
Schnetter, Erik
fa61f1d3-135d-47af-80e2-4285f37a1e24
Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24
Diener, Peter
62485bb0-81d7-49df-b5ad-8f66610efc55
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Pollney, Denis
a78b371e-934f-4fed-8754-91db5cdeb23e
Brown, David
68e8f8ee-6aaf-45e4-9aee-7f76e39ddefe
Sarbach, Olivier
9b1b946c-5ff3-4eeb-b685-915c662edff8
Schnetter, Erik
fa61f1d3-135d-47af-80e2-4285f37a1e24
Tiglio, Manuel
70c1e9ee-b30c-4354-af43-1bd3b4b6af24
Diener, Peter
62485bb0-81d7-49df-b5ad-8f66610efc55
Hawke, Ian
fc964672-c794-4260-a972-eaf818e7c9f4
Pollney, Denis
a78b371e-934f-4fed-8754-91db5cdeb23e

Brown, David, Sarbach, Olivier, Schnetter, Erik, Tiglio, Manuel, Diener, Peter, Hawke, Ian and Pollney, Denis (2007) Excision without excision. Physical Review D, 76, 081503(R). (doi:10.1103/PhysRevD.76.081503).

Record type: Article

Abstract

We analyze and apply an alternative to black hole excision based on smoothing the interior of black holes with arbitrary -- possibly constraint violating -- initial data, and solving the vacuum Einstein evolution equations everywhere. By deriving the constraint propagation system for our hyperbolic formulation of the BSSN evolution system we rigorously prove that the constraints propagate causally and so any constraint violations introduced inside the black holes cannot affect the exterior spacetime. (This does not follow from the causal structure of the spacetime as is often assumed.) We present numerical evolutions of Cook-Pfeiffer binary black hole initial configurations showing that these techniques appear to work robustly for generic data. We also present numerical evidence from spherically symmetric evolutions that for the gauge conditions used the same stationary end-state is approached irrespective of the choice of initial data and smoothing procedure.

This record has no associated files available for download.

More information

Published date: 2007
Keywords: numerical relativity, black Holes, excision

Identifiers

Local EPrints ID: 49013
URI: http://eprints.soton.ac.uk/id/eprint/49013
ISSN: 1550-7998
PURE UUID: a7a05158-4add-4c2c-9484-396661c46b36
ORCID for Ian Hawke: ORCID iD orcid.org/0000-0003-4805-0309

Catalogue record

Date deposited: 19 Oct 2007
Last modified: 28 Jun 2022 01:41

Export record

Altmetrics

Contributors

Author: David Brown
Author: Olivier Sarbach
Author: Erik Schnetter
Author: Manuel Tiglio
Author: Peter Diener
Author: Ian Hawke ORCID iD
Author: Denis Pollney

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×