Stationary hyperboloidal slicings with evolved gauge conditions

Classical and Quantum Gravity

Volumn 26, Issue 17, 2009, Pages

  Ohme, Frank ^a   Hannam, Mark ^b   Husa, Sascha ^c   Murchadha, Niall Ó ^b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UNIVERSITY COLLEGE CORK   (Ireland)

^c UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70349506624     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/17/175014     Document Type: Article

References (50)

1. Hannam M et al 2009 The Samurai project: verifying the consistency of black-hole-binary waveforms for gravitational-wave detection Phys. Rev. D 79 084025
2. Danzmann K et al 1998 Lisa pre-phase a report Max-Planck-Inistitut für Quantenoptik, Rep. MPQ 233 184-209
3. Danzmann K and Rudiger A 2003 LISA technology-concept, status, prospects Class. Quantum Grav. 20 S1-9
4. Einstein Telescope http://www.et-gw.eu/, a Design Study project supported by the European Commission under the Framework Programme 7 (FP7, Grant Agreement 211743)
5. Pretorius F 2005 Evolution of binary black hole spacetimes Phys. Rev. Lett. 95 121101
6. Campanelli M, Lousto C O, Marronetti P and Zlochower Y 2006 Accurate evolutions of orbiting black-hole binaries without excision Phys. Rev. Lett. 96 111101
7. Baker J G, Centrella J, Choi D-Il, Koppitz M and van Meter J 2006 Gravitational wave extraction from an inspiraling configuration of merging black holes Phys. Rev. Lett. 96 111102
8. Pretorius F 2007 Binary black hole coalescence Physics of Relativistic Objects in Compact Binaries: From Birth to Coalescence (Astrophysics and Space Science Library vol 359) ed M Colpi, P Casella, V Gorini, U Moschella and A Possenti (Netherlands: Springer) pp 305-69
9. Hannam M 2009 Status of black-hole-binary simulations for gravitational-wave detection Class. Quantum Grav. 26 114001
10. Penrose R 1963 Asymptotic properties of fields and space-times Phys. Rev. Lett. 10 66-8
11. Frauendiener J 2000 Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations: III. On the determination of radiation Class. Quantum Grav. 17 373-87
12. Purrer M, Husa S and Aichelburg P C 2005 News from critical collapse: Bondi mass, tails and quasinormal modes Phys. Rev. D 71 104005
13. Babiuc M, Szilagyi B, Hawke I and Zlochower Y 2005 Gravitational wave extraction based on Cauchy-characteristic extraction and characteristic evolution Class. Quantum Grav. 22 5089-108
14. Babiuc M C, Bishop N T, Szilagyi B and Winicour J 2009 Strategies for the characteristic extraction of gravitational waveforms Phys. Rev. D 79 084011
15. Winicour J 2009 Characteristic evolution and matching Living Rev. Rel. 12 3 (http://www.livingreviews. org/lrr-2009-3)
16. Zenginolu A 2008 Hyperboloidal evolution with the Einstein equations Class. Quantum Grav. 25 195025
17. Zenginolu A, Nunez D and Husa S 2009 Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem Class. Quantum Grav. 26 035009
18. Friedrich H 1983 Cauchy problems for the conformal vacuum field equations in general relativity Commun. Math. Phys. 91 445-72
19. Friedrich H 2002 Conformal Einstein evolution Lect. Notes Phys. 604 1-50
20. Frauendiener J 2002 Some aspects of the numerical treatment of the conformal field equations Lect. Notes Phys. 604 261-82
21. Frauendiener J 2004 Conformal infinity Living Rev. Rel. 7 (http://www.livingreviews.org/lrr-2004-1)
22. Husa S 2002 Problems and successes in the numerical approach to the conformal field equations Lect. Notes Phys. 604 239-60
23. Husa S 2003 Numerical relativity with the conformal field equations Lect. Notes Phys. 617 159-92
24. Calabrese G, Gundlach C and Hilditch D 2006 Asymptotically null slices in numerical relativity: mathematical analysis and spherical wave equation tests Class. Quantum Grav. 23 4829-46
25. Andersson L 2002 Construction of hyperboloidal initial data Lect. Notes Phys. 604 183-94
26. Husa S, Schneemann C, Vogel T and Zenginolu A 2006 Hyperboloidal data and evolution AIP Conf. Proc. 841 306-13
27. Moncrief V and Rinne O 2009 Regularity of the Einstein equations at future null infinity Class. Quantum Grav. 26 125010
28. Bishop N T, Gomez R, Lehner L, Maharaj M and Winicour J 1997 High-powered gravitational news Phys. Rev. D 56 6298-309
29. Bona C, Massó J, Seidel E and Stela J 1995 A new formalism for numerical relativity Phys. Rev. Lett. 75 600-3
30. Andersson L and Moncrief V 2003 Elliptic-hyperbolic systems and the Einstein equations Ann. Henri Poincare 4 1-34
31. Bonazzola S, Gourgoulhon E, Grandclement P and Novak J 2004 A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates Phys. Rev. D 70 104007
32. Cordero-Carrion I et al 2009 An improved constrained scheme for the Einstein equations: an approach to the uniqueness issue Phys. Rev. D 79 024017
33. Zenginolu A and Husa S 2006 Hyperboloidal foliations with SCRI-fixing in spherical symmetry vol 2 Proc. 11th Marcel Grossman Meeting On General Relativity ed H Kleinert, R T Jantzen and R Ruffini (Singapore: World Scientific) 1624-6
34. Zenginolu A 2008 Hyperboloidal foliations and scri-fixing Class. Quantum Grav. 25 145002
35. Hannam M, Husa S, Pollney D, Brügmann B and Murchadha N 2007 Geometry and regularity of moving punctures Phys. Rev. Lett. 99 241102
36. Hannam M et al 2007 Where do moving punctures go? J. Phys. Conf. Ser. 66 012047
37. Hannam M, Husa S, Ohme F, Brügmann B and Murchadha N 2008 Wormholes and trumpets: the Schwarzschild spacetime for the moving-puncture generation Phys. Rev. D 78 064020
38. Wald R M 1984 General Relativity (Chicago: The University of Chicago Press)
39. Malec E and Murchadha N 2003 Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: part I Phys. Rev. D 68 124019
40. Malec E and Murchadha N 2009 The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution Phys. Rev. D 80 024017
41. Gentle A P, Holz D E, Kheyfets A, Laguna P, Miller W and Shoemaker D M 2001 Constant crunch coordinates for black hole simulations Phys. Rev. D 63 064024
42. York J W 1979 Kinematics and dynamics of general relativity Sources of Gravitational Radiation ed L L Smarr (Cambridge: Cambridge University Press) pp 83-126
43. Bona C, Massó J, Seidel E and Stela J 1997 First order hyperbolic formalism for numerical relativity Phys. Rev. D 56 3405-15
44. David Brown J 2008 Puncture Evolution of Schwarzschild Black Holes Phys. Rev. D 77 044018
45. Alcubierre M 1997 The appearance of coordinate shocks in hyperbolic formalisms of general relativity Phys. Rev. D 55 5981-91
46. Alcubierre M 2003 Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks Class. Quantum Grav. 20 607-24 (Pubitemid 36508125)
47. Cook G B and Scheel M A 1997 Well behaved harmonic time slices of a charged, rotating, boosted black hole Phys. Rev. D 56 4775-81
48. Garfinkle D, Gundlach C and Hilditch D 2008 Comments on Bona-Massó type slicing conditions in long-term black hole evolutions Class. Quantum Grav. 25 075007
49. Brügmann B 2009 Schwarzschild black hole as moving puncture in isotropic coordinates Gen. Rel. Grav. (DOI:10.1007/s10714-009-0818-6)
50. Beig R and Murchadha N 1998 Late time behaviour of the maximal slicing of the Schwarzschild black hole Phys. Rev. D 57 4728-37