Abstract
We report on the first dynamical evolutions of black holes in asymptotically de Sitter spacetimes. We focus on the head-on collision of equal mass binaries and compare analytical and perturbative methods with full blown nonlinear simulations. Our results include an accurate determination of the merger/scatter transition (consequence of an expanding background) for small mass binaries and a test of the Cosmic Censorship conjecture, for large mass binaries. We observe that, even starting from small separations, black holes in large mass binaries eventually lose causal contact, in agreement with the conjecture.
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Komatsu, E., Smith, K., Dunkley, J., et al.: Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation. Astrophys. J. Suppl. Ser. 192, 18 (2011). doi: 10.1088/0067-0049/192/2/18
Shibata, M., Nakao, K.i., Nakamura, T., Maeda, K.i.: Dynamical evolution of gravitational waves in the asymptotically de Sitter space-time. Phys. Rev. D 50, 708 (1994). doi: 10.1103/PhysRevD.50.708
Shibata, M., Sasaki, M.: Black hole formation in the Friedmann universe: formulation and computation in numerical relativity. Phys. Rev. D 60, 084002 (1999). doi:10.1103/PhysRevD.60.084002
Zilhão, M., Cardoso, V., Gualtieri, L., et al.: Dynamics of black holes in de Sitter spacetimes. Phys. Rev. D 85, 104039 (2012). doi: 10.1103/PhysRevD.85.104039
Nakao, K.I., Nakamura, T., Oohara, K.I., Maeda, K.I.: Numerical study of cosmic no-hair conjecture: formalism and linear analysis. Phys. Rev. D 43, 1788 (1991). doi: 10.1103/PhysRevD.43.1788
Nakao, K.I., Yamamoto, K., Maeda, K.I.: Apparent horizons of an N-black-hole system in a space-time with a cosmological constant. Phys. Rev. D 47, 3203 (1993). doi: 10.1103/PhysRevD.47.3203
McVittie, G.: The mass-particle in an expanding universe. Mon. Not. R. Astron. Soc. 93, 325 (1933)
Alcubierre, M.: Introduction to 3+1 numerical relativity, International Series of Monographs on Physics, vol. 140. Oxford University Press, Oxford (2008)
Sperhake, U.: Binary black-hole evolutions of excision and puncture data. Phys. Rev. D 76, 104015 (2007). doi: 10.1103/PhysRevD.76.104015
Campanelli, M., Lousto, C., Marronetti, P., Zlochower, Y.: Accurate evolutions of orbiting black-hole binaries without excision. Phys. Rev. Lett. 96, 111101 (2006). doi:10.1103/PhysRevLett.96.111101
Baker, J.G., Centrella, J., Choi, D.I., Koppitz, M., van Meter, J.: Gravitational wave extraction from an inspiraling configuration of merging black holes. Phys. Rev. Lett. 96, 111102 (2006). doi:10.1103/PhysRevLett.96.111102
Black hole dynamics beyond general relativity (containing animations of black hole collisions). http://blackholes.ist.utl.pt/?page=Files#h-4
Hayward, S., Shiromizu, T., Nakao, K.I.: A cosmological constant limits the size of black holes. Phys. Rev. D 49, 5080 (1994). doi: 10.1103/PhysRevD.49.5080
Brill, D., Horowitz, G., Kastor, D., Traschen, J.: Testing cosmic censorship with black hole collisions. Phys. Rev. D 49, 840 (1994). doi: 10.1103/PhysRevD.49.840
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Zilhão, M., Cardoso, V., Gualtieri, L., Herdeiro, C., Sperhake, U., Witek, H. (2014). Black Hole Collisions in Asymptotically de Sitter Spacetimes. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_31
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DOI: https://doi.org/10.1007/978-3-319-06761-2_31
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