New frontiers in Numerical Relativity
作者： Miguel Zilhão
DOI:
关键词: Nonsingular black hole models 、 White hole 、 Classical mechanics 、 Physics 、 Binary black hole 、 Black brane 、 Black hole 、 Numerical relativity 、 Rotating black hole 、 Extremal black hole
摘要: The first attempts at solving a binary black hole spacetime date back to the 1960s, with pioneering works of Hahn and Lindquist. In spite all computational advances enormous efforts by several groups, stable, long-term evolution orbit merger two holes was only accomplished over 40 years later, in 2005. Since then, field Numerical Relativity has matured, been extensively used explore uncover plethora physical phenomena various scenarios. this thesis, we take new frontiers exploring its extensions higher dimensions, non-asymptotically flat spacetimes Einstein-Maxwell theory. We start reviewing usual formalism tools, including "3+1" decomposition, initial data construction, BSSN scheme standard wave extraction procedures. then present dimensional reduction procedure that allows one use existing numerical codes (with minor adaptations) evolve higher-dimensional systems enough symmetry, show corresponding results obtained for five-dimensional head-on collisions holes. Finally, evolutions spacetimes,
arxiv.org参考文章(196)
Richard Allen Isaacson, Gravitational Radiation in the Limit of High Frequency Ph.D. Thesis. ,(1967) , 10.13016/M2FF1J
Andrew Chamblin, Fred Cooper, Gouranga C. Nayak, Supersymmetry production from a TeV scale black hole at CERN LHC Physical Review D. ,vol. 70, pp. 075018- ,(2004) , 10.1103/PHYSREVD.70.075018
Olivier Sarbach, Gioel Calabrese, Jorge Pullin, Manuel Tiglio, Hyperbolicity of the BSSN system of Einstein evolution equations Physical Review D. ,vol. 66, pp. 064002- ,(2002) , 10.1103/PHYSREVD.66.064002
Ulrich Sperhake, Vitor Cardoso, Christian D. Ott, Erik Schnetter, Helvi Witek, Collisions of unequal mass black holes and the point particle limit Physical Review D. ,vol. 84, pp. 084038- ,(2011) , 10.1103/PHYSREVD.84.084038
Eric Gourgoulhon, 3+1 Formalism and Bases of Numerical Relativity arXiv: General Relativity and Quantum Cosmology. ,(2007)
Bernd Bruegmann, Carlos F. Sopuerta, Doreen Mueller, Ulrich Sperhake, Black-hole binaries go to eleven orbits arXiv: General Relativity and Quantum Cosmology. ,(2010)
Peter Anninos, David Hobill, Edward Seidel, Larry Smarr, Wai-Mo Suen, Collision of two black holes Physical Review Letters. ,vol. 71, pp. 2851- 2854 ,(1993) , 10.1103/PHYSREVLETT.71.2851
Glenn Starkman, Dejan Stojkovic, Eram Rizvi, Jeff Tseng, De-Chang Dai, Cigdem Issever, Manual of BlackMax, a black-hole event generator with rotation, recoil, split branes, and brane tension arXiv: High Energy Physics - Phenomenology. ,(2009)
P Rapagnani, M Pham-Tu, R Poggiani, S Candusso, M Flagiello, X Grave, S Marano, I Ferrante, M Punturo, A Giazotto, E Majorana, F Fidecaro, R Stanga, C Drezen, A Giassi, G Losurdo, M Taubmann, D Enard, Y Acker, V Ferrari, F Marchesoni, L Latrach, P La Penna, L Di Fiore, F Barone, J-P Roger, A Di Virgilio, R De Salvo, M Longo, M Lops, A Dominjon, J-M Mackowski, L Massonnet, C Mehmel, L Holloway, P Mann, F Ricci, J-M Innocent, P Puppo, E Bougleux, G Matone, C N Man, A Ciampa, S Mancini, J-Y Vinet, R Morand, B Bhawal, G Cagnoli, C Boccara, L Gammaitoni, Ph Gleyzes, M Mazzoni, B Caron, E Tournier, F Bondu, P Pelfer, A Brillet, R Del Fabbro, H-B Pan, M Beccaria, S Bellucci, L Milano, S Solimeno, J Kovalik, D Passuello, F Garufi, M Barsuglia, V Sannibale, F Palla, P Hello, V Loriette, D Babusci, A Viceré, E Cuoco, Z Zhang, F Marion, G Giordano, S Braccini, M Bernardini, A Grado, R Flaminio, M Yvert, B Mours, L Pinard, M Davier, G Curci, V Brisson, F Cavalier, P Heusse, C Bradaschia, E Calloni, G Cella, H Heitmann, The Virgo interferometer Classical and Quantum Gravity. ,vol. 14, pp. 1461- 1469 ,(1997) , 10.1088/0264-9381/14/6/011
A.A. Pomeransky, R.A. Sen'kov, Black ring with two angular momenta arXiv: High Energy Physics - Theory. ,(2006)