4 research outputs found
Towards absorbing outer boundaries in General Relativity
- Author
- Baker J G Centrella J Choi D-I Koppitz M van Meter J Miller M C
- Bayliss A
- Beyer H
- Bishop N T
- Calabrese G
- Calabrese G
- Dafermos M Rodnianski I
- Estabrook F B
- Frauendiener J
- Friedrich H
- Friedrich H
- Friedrich H
- Herrmann F Shoemaker D Laguna P
- Husa C S
- Kreiss H O
- Kreiss H O
- Lau S R
- Lau S R
- Lehner L
- Lehner L
- Lindblom L
- Luisa T Buchman
- Nagy G
- Olivier C A Sarbach
- Penrose R
- Pretorius F
- Rinne O
- Royden H L
- Scheel M A Pfeiffer H P Lindblom L Kidder L E Rinne O Teukolsky S A
- Schnetter E
- Sperhake U
- Stewart J M
- Thornburg J
- Winicour J
- Publication venue
- 'IOP Publishing'
- Publication date
- 16/09/2006
- Field of study
We construct exact solutions to the Bianchi equations on a flat spacetime
background. When the constraints are satisfied, these solutions represent in-
and outgoing linearized gravitational radiation. We then consider the Bianchi
equations on a subset of flat spacetime of the form [0,T] x B_R, where B_R is a
ball of radius R, and analyze different kinds of boundary conditions on
\partial B_R. Our main results are: i) We give an explicit analytic example
showing that boundary conditions obtained from freezing the incoming
characteristic fields to their initial values are not compatible with the
constraints. ii) With the help of the exact solutions constructed, we determine
the amount of artificial reflection of gravitational radiation from
constraint-preserving boundary conditions which freeze the Weyl scalar Psi_0 to
its initial value. For monochromatic radiation with wave number k and arbitrary
angular momentum number l >= 2, the amount of reflection decays as 1/(kR)^4 for
large kR. iii) For each L >= 2, we construct new local constraint-preserving
boundary conditions which perfectly absorb linearized radiation with l <= L.
(iv) We generalize our analysis to a weakly curved background of mass M, and
compute first order corrections in M/R to the reflection coefficients for
quadrupolar odd-parity radiation. For our new boundary condition with L=2, the
reflection coefficient is smaller than the one for the freezing Psi_0 boundary
condition by a factor of M/R for kR > 1.04. Implications of these results for
numerical simulations of binary black holes on finite domains are discussed.Comment: minor revisions, 30 pages, 6 figure
Exploring new physics frontiers through numerical relativity
- Author
- A Adam
- A Adams
- A Adams
- A Arvanitaki
- A Arvanitaki
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- A Ashtekar
- A Ashtekar
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- A Buchel
- A Buchel
- A Buchel
- A Buchel
- A Buonanno
- A Buonanno
- A Duenas-Vidal
- A Einstein
- A Einstein
- A Einstein
- A Einstein
- A Einstein
- A Einstein
- A Garat
- A Ishibashi
- A Le Tiec
- A Le Tiec
- A Lichnerowicz
- A Nagar
- A Nerozzi
- A Papapetrou
- A Peres
- A Smailagic
- A Strominger
- A Taliotis
- A Weyhausen
- AA Starobinsky
- AE Fischer
- AE Mayo
- AJS Hamilton
- AJS Hamilton
- AJS Hamilton
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- AR Moser
- AS Eddington
- AZ Petrov
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- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2015
- Field of study
The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein's equations - along with some spectacular results - in various setups. We review techniques for solving Einstein's equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology
Modeling the source of GW150914 with targeted numerical-relativity simulations
- Author
- Aasi J
- Abbott B
- Ajith P
- Ajith P
- Alyssa Garcia
- Aylott B
- Aylott B
- Baker J G
- Buchman L T
- Béla Szilágyi
- Carlos O Lousto
- Chu T
- Daniel A Hemberger
- Einstein Toolkit home page
- Geoffrey Lovelace
- Handmer C J
- Harald P Pfeiffer
- Hemberger D A
- Hinder I
- Husa S
- James Healy
- Jani K
- Lawrence E Kidder
- LIGO Scientific Collaboration
- Lindblom L
- Loken C
- Löffler F
- Manuela Campanelli
- Mark A Scheel
- Michael Boyle
- Mroué A H
- Ossokine S
- Owen R
- Pfeiffer H P
- Pfeiffer H P
- Pretorius F
- Richard O’Shaughnessy
- Rinne O
- Rinne O
- Rinne O
- Saul A Teukolsky
- Scheel M A
- Schmidt P
- Schnetter E
- Smarr L
- Smarr L ed Papagiannis M D
- The Cactus Computational Toolkit
- Thornburg J
- Yosef Zlochower
- Publication venue
- 'IOP Publishing'
- Publication date
- Field of study
Effects of waveform model systematics on the interpretation of GW150914
- Author
- A A van Veggel
- A Ain
- A Allocca
- A Ananyeva
- A Avila-Alvarez
- A B Nielsen
- A Basti
- A Bertolini
- A Bisht
- A Bohe
- A Bozzi
- A Brillet
- A Buikema
- A Buonanno
- A C Green
- A Chincarini
- A Chiummo
- A Colla
- A Corsi
- A Cumming
- A D Silva
- A D Viets
- A Dasgupta
- A Di Lieto
- A Di Virgilio
- A E Pace
- A Effler
- A F Brooks
- A Fernández Galiana
- A Freise
- A Gennai
- A Giazotto
- A Glaefke
- A Gopakumar
- A Grado
- A Grant
- A Gupta
- A Heidmann
- A J K Chua
- A J Weinstein
- A K Srivastava
- A Kontos
- A Królak
- A Kutynia
- A L Lombardi
- A L Miller
- A L Stuver
- A L Urban
- A Lartaux-Vollard
- A Lazzarini
- A Lenon
- A Libson
- A M Sintes
- A Masserot
- A Melatos
- A Miller
- A Moggi
- A Mullavey
- A Mytidis
- A Neunzert
- A Nitz
- A Noack
- A P Lundgren
- A P Spencer
- A Pai
- A Pal-Singh
- A Paoli
- A Pasqualetti
- A Pele
- A Perreca
- A Post
- A R Wade
- A R Williamson
- A Rocchi
- A Rüdiger
- A S Bell
- A S Markosyan
- A S Sengupta
- A Samajdar
- A Sawadsky
- A Schönbeck
- A Sergeev
- A Sheperd
- A Singer
- A Singh
- A Singhal
- A Staley
- A Taracchini
- A Vano Vinuales
- A Vecchio
- A Viceré
- A W Heptonstall
- A W Muir
- A Zadrożny
- Aasi J
- Abbott B P
- Abhirup Ghosh
- Ajith P
- Ajith P
- Archisman Ghosh
- Arunava Mukherjee
- B A Boom
- B Allen
- B B Miller
- B Barr
- B C Barish
- B C Moore
- B C Pant
- B C Stephens
- B D Cheeseboro
- B D Lackey
- B Day
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- B F Whiting
- B Farr
- B Hughey
- B J J Slagmolen
- B J Owen
- B K Berger
- B Klein
- B Krishnan
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- B L Swinkels
- B Lantz
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- B Mours
- B O’Reilly
- B P Abbott
- B Patricelli
- B R Hall
- B R Iyer
- B S Sathyaprakash
- B Sassolas
- B Shapiro
- B Smith
- B Sorazu
- B Szilagyi
- B U Gadre
- B Weaver
- B Willke
- Biwer C
- Blackman J
- Bohé A
- C A Costa
- C Adams
- C Affeldt
- C Aulbert
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- C Baune
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- C V Kalaghatgi
- C Van Den Broeck
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- C Whittle
- C Zhao
- C-J Haster
- Cannon K
- Chu T
- Chunglee Kim
- D A Brown
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- D Meacher
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- D Moraru
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- D Nolting
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- D Passuello
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- D Töyrä
- D Ugolini
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- D V Voss
- D Verkindt
- D Williams
- Devine C
- E A Houston
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