GRAVITATIONAL COLLAPSE AND RELATIVITY

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1 Proceedings of Yamada Conference XIV GRAVITATIONAL COLLAPSE AND RELATIVITY KYOTO INTERNATIONAL CONFERENCE HALL, JAPAN 7-11 APRIL 1986 EDITED BY HUMITAKA SATO TAKASHI NAKAMURA UNIVERSITATSBIBLIOTHEK HANNOVER TEC HN ISC HE INFORM ATiONSBIBLIOTHEK Wortd Scientific

2 CONTENTS XI Preface v Welcome address vii Yamada Science Foundation and the Scope of Yamada Conference ix Advisers and Organizing Committee x H. Sato Opening Address 1 J. Ehlers Summary 4 DISCOURSES K. S. Thorne The membrane paradigm and black-hole 13 thermodynamics S. Hayakasa Black hole candidates in X-ray binaries 20 R. Penrose Gravitational field mass 43 CLASSICAL RELATIVITY T. Damour On the propagation problem in gravitational 63 radiation theory F. I. Cooperstock The new formula for gravitational radiation energy 74 and P. H. Lim loss and its applications T. Futamase The strong field point particle limit and the 81 quadrupole formula in the binary pulsar system J. N. Goldberg Surface integrals associated with the canonical 88 formalism on a null surface W. Israel The third law 96

3 XII D. C. Chern and J. M. Nester M. Sasaki Positive energy and Poincare gauge theory 106 Gauge-invariant cosmological density perturbations 114 EXACT SOLUTION M. A. H. MacCallum F. J. Ernst M. Yamazaki S. M. Scott C. Hoenselaers F. B. Estabrook M. Jimbo, T. Miwa and M. Okado M. Gurses F. J. Chinea J. Winicour S.W.Kim and B. H. Cho S. Antoci Computer-aided classification of exact solutions in general relativity Derivation of Nutku-Halil colliding plane wave solution from isotropic Kasner metric using double-harrison transformation Black holes and monopoles Analysis of a directional singularity On multipole moments in general relativity Frame bundles: Covariance, invariant forms and exterior differential systems for Ricci-flat solutions Solvable lattice models and the elliptic theta functions Some linear prolongations of the vacuum gravitational field equations Clifford algebras in general relativity Exact solutions, numerical relativity and gravitational radiation Bianchi type-l solutions in Brans-Dicke theory with torsion An interpretation of the Hermitian theory of relativity COMPUTER-AIDED RELATIVITY R. F. Stark and T. Pi ran Gravitational radiation from rotating gravitational collapse 249

4 J. A. Marck and T. Piran S. M. Miyama, M. Nagasawa and T. Nakamura T. Nakamura K. Oohara Y. Kojima J. B. Hartle M. R. Dubai B. F. Schutz H. Komatsu, Y. Eriguchi and I. Hachisu F. de Felice and L. Sigalotti S. L. Shapiro and S. A. Teukolsky 3-D relativistic hydrodynamics around a Kerr 276 black hole Gravitational radiation in the 3-D processes such 282 as fragmentation and collision of fluids Gravitational radiation and 3D numerical 295 relativity Apparent horizon of initial data for black hole- 313 collision Gravitational radiation from a Kerr black hole 320 Numerical quantum gravity 329 Regge calculus in numerical relativity 339 Hubble's constant from gravitational wave 350 observations Rapidly rotating general relativistic polytropes 369 The value of the a/m ratio in binary systems 377 Computer simulations of relativistic star clusters 387 xin COSMOLOGY AND OTHER TOPICS A. Tomimatsu Are extra dimensions visible near the event 417 horizon? Black holes coupled to scalar fields K. Maeda C. H. Lee and H. K. Lee The Einstein gravity as an attractor in higher- 426 dimensional theories Higher dimensional cosmology 434

5 XIV H. Ishihara Higher dimensional solutions of modified Einstein equations with curvature square terms 443 K. V. Kuchar and M. P. Ryan Jr. SWada T. Azuma R. Balbinot Y. Fujii A. Krasinski Can mini-superspace quantization be justified? 451 Who decides boundary conditions for the wave 465 function of the universe? Cosmological solutions of the Einstein equation 474 with the backreaction effect of quantized conformally invariant fields Quantum effects in nonstatic black hole space- 482 times Nonzero effect of the Eotvds experiment? 491 Inhomogeneous generalizations of the Robertson- 500 Walker cosmological models Conference program 509 List of participants 511

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