-
1
-
-
0002773127
-
The dynamics of general relativity
-
ed. L. Witten (Wiley, New York)
-
R. Arnowitt, S. Deser and C. W. Misner, The dynamics of general relativity, in Gravitation: An Introduction to Current Research, ed. L. Witten (Wiley, New York, 1962).
-
(1962)
Gravitation: An Introduction to Current Research
-
-
Arnowitt, R.1
Deser, S.2
Misner, C. W.3
-
2
-
-
0034297558
-
Generic isolated horizons and their applications
-
A. Ashtekar, C. Beetle, O. Dreyer, S. Fairhurst, B. Krishnan, J. Lewandowski and J. Wisniewski, Generic isolated horizons and their applications, Phys. Rev. Lett. 85 (2000) 3564–3567.
-
(2000)
Phys. Rev. Lett
, vol.85
, pp. 3564-3567
-
-
Ashtekar, A.1
Beetle, C.2
Dreyer, O.3
Fairhurst, S.4
Krishnan, B.5
Lewandowski, J.6
Wisniewski, J.7
-
3
-
-
85037237987
-
Dynamical horizons and their properties
-
A. Ashtekar and B. Krishnan, Dynamical horizons and their properties, Phys. Rev. D68 (2003) 104030.
-
(2003)
Phys. Rev
, vol.D68
, pp. 104030
-
-
Ashtekar, A.1
Krishnan, B.2
-
4
-
-
0037704499
-
A new paradigm for parallel adaptive mesh refinement
-
R. Bank and M. Holst, A new paradigm for parallel adaptive mesh refinement, SIAM Review 45 (2003) 291–323.
-
(2003)
SIAM Review
, vol.45
, pp. 291-323
-
-
Bank, R.1
Holst, M.2
-
5
-
-
19944408224
-
Constrained scheme for the Einstein equations based on the dirac gauge and spherical coordinates
-
S. Bonazzola, E. Gourgoulhon, P. Grandclément and J. Novak, Constrained scheme for the Einstein equations based on the dirac gauge and spherical coordinates, Phys. Rev. D70 (2004) 104007–24.
-
(2004)
Phys. Rev
, vol.D70
, pp. 104007-104024
-
-
Bonazzola, S.1
Gourgoulhon, E.2
Grandclément, P.3
Novak, J.4
-
6
-
-
0001699030
-
Time-asymetric initial data for black holes and black-hole collisions
-
J. M. Bowen and J. W. York, Jr., Time-asymetric initial data for black holes and black-hole collisions, Phys. Rev. D21 (1980) 2047–2056.
-
(1980)
Phys. Rev
, vol.D21
, pp. 2047-2056
-
-
Bowen, J. M.1
York, J. W.2
-
7
-
-
0003422931
-
-
2nd edn. (Dover, New York). For an online version
-
J. B. Boyd, Chebyshev and Fourier Spectral Methods, 2nd edn. (Dover, New York, 2001). For an online version, see http://www-personal.engin.umich.edu/∼jpboyd.
-
(2001)
Chebyshev and Fourier Spectral Methods
-
-
Boyd, J. B.1
-
8
-
-
0001174029
-
A simple construction of initial data for multiple black holes
-
S. Brandt and B. Brügmann, A simple construction of initial data for multiple black holes, Phys. Rev. Lett. 78 (1997) 3606–3609.
-
(1997)
Phys. Rev. Lett
, vol.78
, pp. 3606-3609
-
-
Brandt, S.1
Brügmann, B.2
-
10
-
-
0003766476
-
-
(Springer, New York)
-
C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer, New York, 1987).
-
(1987)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M. Y.2
Quarteroni, A.3
Zang, T. A.4
-
11
-
-
0001478515
-
Initial data for axisymmetric black-hole collisions
-
G. B. Cook, Initial data for axisymmetric black-hole collisions, Phys. Rev. D44 (1991) 2983–3000.
-
(1991)
Phys. Rev
, vol.D44
, pp. 2983-3000
-
-
Cook, G. B.1
-
12
-
-
3242716141
-
Initial data for numerical relativity
-
[Online Article]: cited on Aug 11, 2001
-
G. B. Cook, Initial data for numerical relativity, Living Rev. Relativity, 3 (2000). http://livingreviews.org/Articles/Volume3/2000-5cook/ [Online Article]: cited on Aug 11, 2001.
-
(2000)
Living Rev. Relativity
, vol.3
-
-
Cook, G. B.1
-
13
-
-
0037091551
-
Corotating and irrotational binary black holes in quasicircular orbits
-
G. B. Cook, Corotating and irrotational binary black holes in quasicircular orbits, Phys. Rev. D65 (2002) 084003.
-
(2002)
Phys. Rev
, vol.D65
, pp. 084003
-
-
Cook, G. B.1
-
14
-
-
33845636781
-
Three-dimensional initial data for the collision of two black holes
-
G. B. Cook, M. W. Choptuik, M. R. Dubal, S. Klasky, R. A. Matzner and S. R. Oliveira, Three-dimensional initial data for the collision of two black holes, Phys. Rev. D47 (1993) 1471–1490.
-
(1993)
Phys. Rev
, vol.D47
, pp. 1471-1490
-
-
Cook, G. B.1
Choptuik, M. W.2
Dubal, M. R.3
Klasky, S.4
Matzner, R. A.5
Oliveira, S. R.6
-
15
-
-
19944420433
-
Excision boundary conditions for black hole initial data
-
G. B. Cook and H. P. Pfeiffer, Excision boundary conditions for black hole initial data, Phys. Rev. D70 (2004) 104016–24.
-
(2004)
Phys. Rev
, vol.D70
, pp. 104016-104024
-
-
Cook, G. B.1
Pfeiffer, H. P.2
-
16
-
-
0012531690
-
Covariant decomposition of symmetric tensors and the gravitational Cauchy problem
-
S. Deser, Covariant decomposition of symmetric tensors and the gravitational Cauchy problem, Ann. Inst. Henri Poincaré, Section A 7 (1967) 149–188.
-
(1967)
Ann. Inst. Henri Poincaré, Section A
, vol.7
, pp. 149-188
-
-
Deser, S.1
-
17
-
-
0034340656
-
Adaptive mesh refinement approach to the construction of initial data for black hole collisions
-
P. Diener, N. Jansen, A. Khokhlov and I. Novikov, Adaptive mesh refinement approach to the construction of initial data for black hole collisions, Class. Quantum Grav. 17 (2000) 435–451.
-
(2000)
Class. Quantum Grav
, vol.17
, pp. 435-451
-
-
Diener, P.1
Jansen, N.2
Khokhlov, A.3
Novikov, I.4
-
18
-
-
0037438311
-
Introduction to isolated horizons in numerical relativity
-
O. Dreyer, B. Krishnan, D. Shoemaker and E. Schnetter, Introduction to isolated horizons in numerical relativity, Phys. Rev. D67 (2003) 024018.
-
(2003)
Phys. Rev
, vol.D67
, pp. 024018
-
-
Dreyer, O.1
Krishnan, B.2
Shoemaker, D.3
Schnetter, E.4
-
19
-
-
0003439976
-
-
(Princeton University Press, Princeton, New Jersey)
-
L. P. Eisenhart, Riemannian Geometry (Princeton University Press, Princeton, New Jersey, 1925).
-
(1925)
Riemannian Geometry
-
-
Eisenhart, L. P.1
-
20
-
-
0001143928
-
Measuring gravitational waves from binary black hole coalescences. II. The waves’ information and its extraction, with and without templates
-
É. É. Flanagan and S. A. Hughes, Measuring gravitational waves from binary black hole coalescences. II. The waves’ information and its extraction, with and without templates, Phys. Rev. D57 (1998) 4566–4587.
-
(1998)
Phys. Rev
, vol.D57
, pp. 4566-4587
-
-
Flanagan, É. É.1
Hughes, S. A.2
-
21
-
-
3242683500
-
Nonexistence of conformally flat slices of the Kerr spacetime
-
A. Garat and R. H. Price, Nonexistence of conformally flat slices of the Kerr spacetime, Phys. Rev. D61 (2000) 124001.
-
(2000)
Phys. Rev
, vol.D61
, pp. 124001
-
-
Garat, A.1
Price, R. H.2
-
22
-
-
85038304386
-
Binary black holes in circular orbits. I. A global spacetime approach
-
E. Gourgoulhon, P. Grandclément and S. Bonazzola, Binary black holes in circular orbits. I. A global spacetime approach, Phys. Rev. D65 (2002) 044020.
-
(2002)
Phys. Rev
, vol.D65
, pp. 044020
-
-
Gourgoulhon, E.1
Grandclément, P.2
Bonazzola, S.3
-
23
-
-
3843111512
-
Binary black holes in circular orbits. II. Numerical methods and first results
-
P. Grandclément, E. Gourgoulhon and S. Bonazzola, Binary black holes in circular orbits. II. Numerical methods and first results, Phys. Rev. D65 (2002) 044021.
-
(2002)
Phys. Rev
, vol.D65
, pp. 044021
-
-
Grandclément, P.1
Gourgoulhon, E.2
Bonazzola, S.3
-
24
-
-
0142250769
-
Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasi-equilibrium?
-
M. D. Hannam, C. R. Evans, G. B. Cook and T. W. Baumgarte, Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasi-equilibrium?, Phys. Rev. D68 (2003) 064003.
-
(2003)
Phys. Rev
, vol.D68
, pp. 064003
-
-
Hannam, M. D.1
Evans, C. R.2
Cook, G. B.3
Baumgarte, T. W.4
-
25
-
-
0035566962
-
Adaptive numerical treatment of elliptic systems on manifolds
-
M. Holst, Adaptive numerical treatment of elliptic systems on manifolds, Adv. Comput. Math. 15 (2001) 139–191.
-
(2001)
Adv. Comput. Math
, vol.15
, pp. 139-191
-
-
Holst, M.1
-
26
-
-
19944430711
-
Inner boundary conditions for black hole initial data derived from isolated horizons
-
J. Jaramillo, E. Gourgoulhon, and G. M. Marugán, Inner boundary conditions for black hole initial data derived from isolated horizons, Phys. Rev. D70 (2004) 124036.
-
(2004)
Phys. Rev
, vol.D70
, pp. 124036
-
-
Jaramillo, J.1
Gourgoulhon, E.2
Marugán, G. M.3
-
27
-
-
0000317992
-
Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems
-
P. Jaranowski and G. Schäfer, Third post-Newtonian higher order ADM Hamilton dynamics for two-body point-mass systems, Phys. Rev. D57 (1998) 7274–7291.
-
(1998)
Phys. Rev
, vol.D57
, pp. 7274-7291
-
-
Jaranowski, P.1
Schäfer, G.2
-
28
-
-
18544371967
-
Boundary conditions for the Einstein evolution system
-
L. E. Kidder, L. Lindblom, M. A. Scheel, L. T. Buchman and H. P. Pfeiffer, Boundary conditions for the Einstein evolution system, Phys. Rev. D71 (2005) 064020.
-
(2005)
Phys. Rev
, vol.D71
, pp. 064020
-
-
Kidder, L. E.1
Lindblom, L.2
Scheel, M. A.3
Buchman, L. T.4
Pfeiffer, H. P.5
-
29
-
-
1442331435
-
Nonexistence of conformally flat slices in Kerr and other stationary spacetimes
-
J. A. V. Kroon, Nonexistence of conformally flat slices in Kerr and other stationary spacetimes, Phys. Rev. Lett. 92 (2004) 041101.
-
(2004)
Phys. Rev. Lett
, vol.92
, pp. 041101
-
-
Kroon, J. A. V.1
-
30
-
-
0001996991
-
Líntegration des équations de la gravitation relativiste et le problème des n corps
-
A. Lichnerowicz, Líntegration des équations de la gravitation relativiste et le problème des n corps, J. Math. Pures Appl. 23 (1944) 37–63.
-
(1944)
J. Math. Pures Appl
, vol.23
, pp. 37-63
-
-
Lichnerowicz, A.1
-
31
-
-
0034499555
-
Solving the initial value problem of two black holes
-
P. Marronetti and R. A. Matzner, Solving the initial value problem of two black holes, Phys. Rev. Lett. 85 (2000) 5500.
-
(2000)
Phys. Rev. Lett
, vol.85
, pp. 5500
-
-
Marronetti, P.1
Matzner, R. A.2
-
32
-
-
3242707837
-
Initial data and coordinates for multiple black hole systems
-
R. A. Matzner, M. F. Huq and D. Shoemaker, Initial data and coordinates for multiple black hole systems, Phys. Rev. D59 (1999) 024015.
-
(1999)
Phys. Rev
, vol.D59
, pp. 024015
-
-
Matzner, R. A.1
Huq, M. F.2
Shoemaker, D.3
-
34
-
-
4243453052
-
Initial-value problem of general relativity. I. General formulation and physical interpretation
-
N. Ó. Murchadha and J. W. York, Jr., Initial-value problem of general relativity. I. General formulation and physical interpretation, Phys. Rev. D10 (1974) 428–436.
-
(1974)
Phys. Rev
, vol.D10
, pp. 428-436
-
-
Murchadha, N. Ó.1
York, J. W.2
-
36
-
-
85038274580
-
Comparing initial-data sets for binary black hole
-
H. P. Pfeiffer, G. B. Cook and S. A. Teukolsky, Comparing initial-data sets for binary black hole, Phys. Rev. D66 (2002) 024047.
-
(2002)
Phys. Rev
, vol.D66
, pp. 024047
-
-
Pfeiffer, H. P.1
Cook, G. B.2
Teukolsky, S. A.3
-
37
-
-
67651051315
-
Initial data for Einstein’s equations with superposed gravitational waves
-
H. P. Pfeiffer, L. E. Kidder, M. A. Scheel and D. Shoemaker, Initial data for Einstein’s equations with superposed gravitational waves, Phys. Rev. D71 (2005) 024020.
-
(2005)
Phys. Rev
, vol.D71
, pp. 024020
-
-
Pfeiffer, H. P.1
Kidder, L. E.2
Scheel, M. A.3
Shoemaker, D.4
-
38
-
-
0037447726
-
A multidomain spectral method for solving elliptic equations
-
H. P. Pfeiffer, L. E. Kidder, M. A. Scheel and S. A. Teukolsky, A multidomain spectral method for solving elliptic equations, Comput. Phys. Commun. 152 (2003) 253–273.
-
(2003)
Comput. Phys. Commun
, vol.152
, pp. 253-273
-
-
Pfeiffer, H. P.1
Kidder, L. E.2
Scheel, M. A.3
Teukolsky, S. A.4
-
39
-
-
17044395999
-
Quasicircular orbits for spinning binary black holes
-
H. P. Pfeiffer, S. A. Teukolsky and G. B. Cook, Quasicircular orbits for spinning binary black holes, Phys. Rev. D62 (2000) 104018.
-
(2000)
Phys. Rev
, vol.D62
, pp. 104018
-
-
Pfeiffer, H. P.1
Teukolsky, S. A.2
Cook, G. B.3
-
40
-
-
0037441119
-
Extrinsic curvature and the Einstein constraints
-
H. P. Pfeiffer and J. W. York, Jr., Extrinsic curvature and the Einstein constraints, Phys. Rev. D67 (2003) 044022.
-
(2003)
Phys. Rev
, vol.D67
, pp. 044022
-
-
Pfeiffer, H. P.1
York, J. W.2
-
41
-
-
12944260516
-
Numerical relativity using a generalized harmonic decomposition
-
F. Pretorius, Numerical relativity using a generalized harmonic decomposition, Class. Quantum Grav. 22 (2005) 425–452.
-
(2005)
Class. Quantum Grav
, vol.22
, pp. 425-452
-
-
Pretorius, F.1
-
43
-
-
0010235854
-
On the validity of Wilson’s approach to general relativity
-
ed. A. Królak (Polish Academy of Sciences, Institute of Mathematics, Warsaw)
-
R. Rieth, On the validity of Wilson’s approach to general relativity, in Mathematics of Gravitation. Part II. Gravitational Wave Detection, ed. A. Królak (Polish Academy of Sciences, Institute of Mathematics, Warsaw, 1997), pp. 71–74.
-
(1997)
Mathematics of Gravitation. Part II. Gravitational Wave Detection
, pp. 71-74
-
-
Rieth, R.1
-
44
-
-
0000831661
-
Evolution of three-dimensional gravitational waves: Harmonic slicing case
-
M. Shibata and T. Nakamura, Evolution of three-dimensional gravitational waves: Harmonic slicing case, Phys. Rev. D52 (1995) 5428–5444.
-
(1995)
Phys. Rev
, vol.D52
, pp. 5428-5444
-
-
Shibata, M.1
Nakamura, T.2
-
45
-
-
26744444552
-
Radiation gauge in general relativity
-
L. Smarr and J. W. York, Jr., Radiation gauge in general relativity, Phys. Rev. D17 (1978) 1945–1956.
-
(1978)
Phys. Rev
, vol.D17
, pp. 1945-1956
-
-
Smarr, L.1
York, J. W.2
-
46
-
-
0038415986
-
Binary black hole initial data for numerical general relativity based on post-Newtonian data
-
W. Tichy, B. Brügmann, M. Campanelli and P. Diener, Binary black hole initial data for numerical general relativity based on post-Newtonian data, Phys. Rev. D67 (2003) 064008.
-
(2003)
Phys. Rev
, vol.D67
, pp. 064008
-
-
Tichy, W.1
Brügmann, B.2
Campanelli, M.3
Diener, P.4
-
47
-
-
84927719428
-
Quasi-equilibrium binary black hole initial data for dynamical evolutions
-
Erratum-ibid. D70 (2004) 089904
-
H.-J. Yo, J. N. Cook, S. L. Shapiro and T. W. Baumgarte, Quasi-equilibrium binary black hole initial data for dynamical evolutions, Phys. Rev. D70 (2004) 084033; Erratum-ibid. D70 (2004) 089904.
-
(2004)
Phys. Rev
, vol.D70
, pp. 084033
-
-
Yo, H.-J.1
Cook, J. N.2
Shapiro, S. L.3
Baumgarte, T. W.4
-
48
-
-
85189334023
-
-
private communication
-
J. W. York, Jr., private communication.
-
-
-
York, J. W.1
-
49
-
-
26544478974
-
Role of conformal three-geometry in the dynamics of gravitation
-
J. W. York, Jr., Role of conformal three-geometry in the dynamics of gravitation, Phys. Rev. Lett. 28 (1972) 1082–1085.
-
(1972)
Phys. Rev. Lett
, vol.28
, pp. 1082-1085
-
-
York, J. W.1
-
50
-
-
7244223708
-
Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
-
J. W. York, Jr., Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity, J. Math. Phys. 14 (1973) 456–464.
-
(1973)
J. Math. Phys
, vol.14
, pp. 456-464
-
-
York, J. W.1
-
51
-
-
0003021478
-
Covariant decompositions of symmetric tensors in the theory of gravitation
-
J. W. York, Jr., Covariant decompositions of symmetric tensors in the theory of gravitation, Ann. Inst. Henri Poincaré, Section A 21 (1974) 319.
-
(1974)
Ann. Inst. Henri Poincaré, Section A
, vol.21
, pp. 319
-
-
York, J. W.1
-
52
-
-
0004251401
-
Kinematics and dynamics of general relativity
-
ed. L. L. Smarr (Cambridge University Press, Cambridge, England)
-
J. W. York, Jr., Kinematics and dynamics of general relativity, in Sources of Gravitational Radiation, ed. L. L. Smarr (Cambridge University Press, Cambridge, England, 1979), p. 83.
-
(1979)
Sources of Gravitational Radiation
, pp. 83
-
-
York, J. W.1
-
53
-
-
0000377045
-
Conformal “thin-sandwich” data for the initial-value problem of general relativity
-
J. W. York, Jr., Conformal “thin-sandwich” data for the initial-value problem of general relativity, Phys. Rev. Lett. 82 (1999) 1350–1353.
-
(1999)
Phys. Rev. Lett
, vol.82
, pp. 1350-1353
-
-
York, J. W.1
|