3+1 formalism and bases of numerical relativity - LUTh ...
3+1 formalism and bases of numerical relativity - LUTh ...
3+1 formalism and bases of numerical relativity - LUTh ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
202 BIBLIOGRAPHY<br />
[43] T.W. Baumgarte <strong>and</strong> S.L. Shapiro : Numerical integration <strong>of</strong> Einstein’s field equations,<br />
Phys. Rev. D 59, 024007 (1999).<br />
[44] T.W. Baumgarte <strong>and</strong> S.L. Shapiro : Numerical <strong>relativity</strong> <strong>and</strong> compact binaries, Phys. Rep.<br />
376, 41 (2003).<br />
[45] T.W. Baumgarte <strong>and</strong> S.L. Shapiro : General relativistic magnetohydrodynamics for the<br />
<strong>numerical</strong> construction <strong>of</strong> dynamical spacetimes, Astrophys. J. 585, 921 (2003).<br />
[46] T.W. Baumgarte, N. Ó Murchadha, <strong>and</strong> H.P. Pfeiffer : Einstein constraints: Uniqueness<br />
<strong>and</strong> non-uniqueness in the conformal thin s<strong>and</strong>wich approach, Phys. Rev. D 75, 044009<br />
(2007).<br />
[47] R. Beig : Arnowitt-Deser-Misner energy <strong>and</strong> g00, Phys. Lett. 69A, 153 (1978).<br />
[48] R. Beig : The maximal slicing <strong>of</strong> a Schwarzschild black hole, Ann. Phys. (Leipzig) 11, 507<br />
(2000).<br />
[49] R. Beig <strong>and</strong> W. Krammer : Bowen-York tensors, Class. Quantum Grav. 21, S73 (2004).<br />
[50] R. Beig <strong>and</strong> N. Ó Murchadha : Late time behavior <strong>of</strong> the maximal slicing a the<br />
Schwarzschild black hole, Phys. Rev. D 57, 4728 (1998).<br />
[51] M. Bejger, D. Gondek-Rosińska, E. Gourgoulhon, P. Haensel, K. Taniguchi, <strong>and</strong> J. L.<br />
Zdunik : Impact <strong>of</strong> the nuclear equation <strong>of</strong> state on the last orbits <strong>of</strong> binary neutron stars,<br />
Astron. Astrophys. 431, 297-306 (2005).<br />
[52] M. Berger : A Panoramic View <strong>of</strong> Riemannian Geometry, Springer, Berlin (2003).<br />
[53] M. Berger <strong>and</strong> B. Gostiaux : Géométrie différentielle: variétés, courbes et surfaces, Presses<br />
Universitaires de France, Paris (1987).<br />
[54] D. H. Bernstein : A Numerical Study <strong>of</strong> the Black Hole Plus Brill Wave Spacetime, PhD<br />
Thesis, Dept. <strong>of</strong> Physics, University <strong>of</strong> Illinois at Urbana-Champaign (1993).<br />
[55] H. Beyer <strong>and</strong> O. Sarbach : Well-posedness <strong>of</strong> the Baumgarte-Shapiro-Shibata-Nakamura<br />
formulation <strong>of</strong> Einstein’s field equations, Phys. Rev. D 70, 104004 (2004).<br />
[56] L. Blanchet : Innermost circular orbit <strong>of</strong> binary black holes at the third post-Newtonian<br />
approximation, Phys. Rev. D 65, 124009 (2002).<br />
[57] L. Blanchet : Gravitational Radiation from Post-Newtonian Sources <strong>and</strong> Inspiralling Compact<br />
Binaries, Living Rev. Relativity 9, 4 (2006);<br />
http://www.livingreviews.org/lrr-2006-4<br />
[58] L. Blanchet : Theory <strong>of</strong> Gravitational Wave Emission, lectures at Institut Henri Poincaré,<br />
Paris (2006); available at http://www.luth.obspm.fr/IHP06/