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5
-
-
85039020948
-
-
C. Cutler and K.S. Thorne, in Proceedings of GR16, edited by N.T. Bishop and S.D. Maharaj (World Scientific, Singapore, 2002), pp. 72–111
-
C. Cutler and K.S. Thorne, in Proceedings of GR16, edited by N.T. Bishop and S.D. Maharaj (World Scientific, Singapore, 2002), pp. 72–111.
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-
-
-
8
-
-
0037370744
-
-
See T.W. Baumgarte and S.L. Shapiro, Phys. Rep. 376, 41 (2003), for a review and references of relativistic compact binaries.
-
(2003)
Phys. Rep.
, vol.376
, pp. 41
-
-
Baumgarte, T.W.1
Shapiro, S.L.2
-
11
-
-
4243482123
-
-
T.W. Baumgarte, G.B. Cook, M.A. Scheel, S.L. Shapiro, and S.A. Teukolsky, Phys. Rev. Lett. 79, 1182 (1997);
-
(1997)
Phys. Rev. Lett.
, vol.79
, pp. 1182
-
-
Baumgarte, T.W.1
Cook, G.B.2
Scheel, M.A.3
Shapiro, S.L.4
Teukolsky, S.A.5
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18
-
-
85039020533
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-
J. Paul, T. Montmerle, and E. Aubourg
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P. Marronetti, G.J. Mathews, and J.R. Wilson, in Proceedings XIXth Texas Symposium on Relativistic Physics and Cosmology, edited by J. Paul, T. Montmerle, and E. Aubourg [Nucl. Phys. B (Proc. Suppl.) 80 (2000)].
-
(2000)
Proceedings XIXth Texas Symposium on Relativistic Physics and Cosmology, edited by
, vol.80
-
-
Marronetti, P.1
Mathews, G.J.2
Wilson, J.R.3
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24
-
-
0034904638
-
-
E. Gourgoulhon, P. Grandclement, K. Taniguchi, J.A. Marck, and S. Bonazzola, Phys. Rev. D 63, 064029 (2001).
-
(2001)
Phys. Rev. D
, vol.63
, pp. 64029
-
-
Gourgoulhon, E.1
Grandclement, P.2
Taniguchi, K.3
Marck, J.A.4
Bonazzola, S.5
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27
-
-
85039008112
-
-
Usui, Uryū, and Eriguchi
-
Usui, Uryū, and Eriguchi 19 explored a variant of this concept, using a nonconformally flat metric. Their results agree reasonably well with those obtained for a conformally flat metric.
-
-
-
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34
-
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85038989450
-
-
Gourgoulhon
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Gourgoulhon 27 shows the equivalence of the three formalisms.
-
-
-
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35
-
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0035803476
-
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See R.H. Price and J.T. Whelan, Phys. Rev. Lett. 87, 231101 (2001), on the need for numerical relativistic calculations when studying the spin-orbital coupling of compact binaries.
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 231101
-
-
Price, R.H.1
Whelan, J.T.2
-
36
-
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85039020404
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-
R. Arnowitt, S. Deser, and C.W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962)
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R. Arnowitt, S. Deser, and C.W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).
-
-
-
-
37
-
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85039028427
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J.W. York, Jr., in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979), p. 83
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J.W. York, Jr., in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979), p. 83.
-
-
-
-
41
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85038994269
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-
In the inertial frame (Formula presented) where (Formula presented) is given by Eq. (7)
-
In the inertial frame (Formula presented) where (Formula presented) is given by Eq. (7).
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-
-
-
42
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0037438236
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M.D. Duez, P. Marronetti, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. D 67, 024004 (2003).
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(2003)
Phys. Rev. D
, vol.67
, pp. 24004
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-
Duez, M.D.1
Marronetti, P.2
Shapiro, S.L.3
Baumgarte, T.W.4
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43
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85039006266
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-
A.P. Lightman, W.H. Press, R.H. Price, and S.A. Teukolsky, Problem Book in Relativity and Gravitation (Princeton University Press, Princeton, NJ, 1975), problems 14.7 and 16.17
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A.P. Lightman, W.H. Press, R.H. Price, and S.A. Teukolsky, Problem Book in Relativity and Gravitation (Princeton University Press, Princeton, NJ, 1975), problems 14.7 and 16.17.
-
-
-
-
44
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85039009673
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-
We tested this approximation by evolving our models with a fully general relativistic hydrodynamics code described in
-
We tested this approximation by evolving our models with a fully general relativistic hydrodynamics code described in 3844. We verified the existence of close quasiequilibrium orbits that remained stable for over an orbital period for all cases with positive spins and (moderately) negative spins, justifying this approximation.
-
-
-
-
45
-
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85038985856
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S. Bonazzola, E. Gourgoulhon, P. Haensel, and J.-A. Marck, in Approaches to Numerical Relativity, edited by R. d’Inverno (Cambridge University Press, Cambridge, England, 1992), p. 2306
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S. Bonazzola, E. Gourgoulhon, P. Haensel, and J.-A. Marck, in Approaches to Numerical Relativity, edited by R. d’Inverno (Cambridge University Press, Cambridge, England, 1992), p. 2306.
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-
-
-
46
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85038984332
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B. Carter, in Active Galactic Nuclei, edited by C. Hazard and S. Mitton (Cambridge University Press, Cambridge, England, 1979), p. 273
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B. Carter, in Active Galactic Nuclei, edited by C. Hazard and S. Mitton (Cambridge University Press, Cambridge, England, 1979), p. 273.
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-
-
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47
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85038980879
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P. Marronetti, M.D. Duez, S.L. Shapiro, and T.W. Baumgarte (in preparation)
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P. Marronetti, M.D. Duez, S.L. Shapiro, and T.W. Baumgarte (in preparation).
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-
-
-
48
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85038977970
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For a (Formula presented) polytrope, the maximum compaction ratio for a neutron star in isolation is 0.216
-
For a (Formula presented) polytrope, the maximum compaction ratio for a neutron star in isolation is 0.216.
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-
-
-
49
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-
85039006771
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-
The approximate boundary condition for the scalar potential (Formula presented) (27) was based on the assumption that the stellar surface does not stray drastically from the spherical shape. The deformation from sphericity is at its worst for the closest separation distances (Fig. 66), undermining the validity of this approximation for those cases. However, its use is still justified by the fact that the influence of the field (Formula presented) in the final result is rather small (Table II) and that these orbits are very likely to be inside the ISCO
-
The approximate boundary condition for the scalar potential (Formula presented) (27) was based on the assumption that the stellar surface does not stray drastically from the spherical shape. The deformation from sphericity is at its worst for the closest separation distances (Fig. 66), undermining the validity of this approximation for those cases. However, its use is still justified by the fact that the influence of the field (Formula presented) in the final result is rather small (Table II) and that these orbits are very likely to be inside the ISCO 43.
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-
-
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51
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-
85038991061
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-
These values correspond to nonrotating configurations, obtained by solving the TOV equation
-
These values correspond to nonrotating configurations, obtained by solving the TOV equation.
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-
-
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52
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85039020550
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These orbits are acceptable representations of the binary inspiral only in the quasistationary regime
-
These orbits are acceptable representations of the binary inspiral only in the quasistationary regime.
-
-
-
-
53
-
-
85039020681
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-
P. Marronetti et al. (in preparation)
-
P. Marronetti et al. (in preparation).
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-
-
-
54
-
-
85038975677
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-
C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman & Co., New York, 1973), pp. 507–508
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C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman & Co., New York, 1973), pp. 507–508.
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57
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85039019164
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K.S. Thorne, R.H. Price, and D. Macdonald, Black Holes; The Membrane Paradigm (Yale University, New Haven, CT, 1986), p. 178
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K.S. Thorne, R.H. Price, and D. Macdonald, Black Holes; The Membrane Paradigm (Yale University, New Haven, CT, 1986), p. 178.
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