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REFERENCES 279 [11] M. Kasevich and S. Chu, Appl. Phys. B54 (1992) 321. [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] A. Peters, K.Y. Chung, and S. Chu, Nature 400 (1999) 849. R. Colella, A.W. Overhauser, and S.A. Werner, Phys. Rev. Lett. 34 (1975) 1472; K.C. Littrell, B.E. Allman, and S.A. Werner, Phys. Rev. A56 (1997) 1767. J. J. Sakurai, “Modern Quantum Mechanics", (Addison–Wesley Publishing Company, Reading, Mass.,1995). E. Fishbach and C.L. Talmadge, “The Search for Non–Newtonian Gravity”, (Springer–Verlag, New York, 1999). F. Fujii, Nature 234 (1971) 5. G. Carugno, Z. Fontana, R. Onofio, and C. Rizzo, Phys. Rev. D55 (1997) 6591. R. Onofrio, Mod. Phys. Lett. A15 (1998) 1401. D.R. Long, Phys. Rev. D9 (1974) 850; F.D. Stacey, Rev. Mod. Phys. 59 (1987) 157. G.W. Gibbons and B.F. Whiting, Nature 291 (1981) 636. M.B. Mensky, “Continuous Quantum Measurements and Path Integrals", (IOP, Bristol and Philadelphia, 1993). R. Omnes, “The interpretation of quantum mechanics”, (Princeton University Press, Princeton, 1994). C. Presilla, R. Onofrio, and U. Tambini, Ann. Phys. (NY) 248 (1996) 95. A. Camacho, Int. J. Mod. Phys. A14 (1999) 1997. M.B. Mensky, Class. Quan. Grav. 7 (1990) 2317; A. Camacho, in: Proceedings of the International Seminar: Current Topics in Mathematical Cosmology, M. Rainer and H.-J. Schimdt, eds., (World Scientific Publishing Co., Singapore, 1998); A. Camacho and A. Camacho–Galván, Nuov. Cim. B114 (1999) 923. M.B. Mensky, Phys. Rev. D20 (1979) 384. M.B. Mensky, Sov. Phys. JETP. 50 (1979) 667. M.B. Mensky, Physics–Uspekhi 41 (1998) 923. M.F. Bocko and R. Onofrio, Rev. Mod. Phys. 68 (1996) 755. K.S. Thorne, Rev. Mod. Phys. 52 (1980) 299. V.B. Braginsky, Yu.I. Vorontsov, and V.D. Krivchenkov, Sov. Phys. JETP. 41 (1975) 28. V.B. Braginsky, Yu.I. Vorontsov, and F.Ya. Khalili, Pis’ma Zh. Eksp. Teor. Fiz. 73 (1978) 296. W. Dittrich and M. Reuter, “Classical and Quantum Dynamic)”, (Springer– Verlag, Berlin, 1996). R. Thompson, in: Latin–American School of Physics XXXI ELAF, S. Hacyan, R. Jáuregui, and R. López–Peña, eds., (American Institut of Physics, Woodbury, New York, 1999). W. Paul, Rev. Mod. Phys. 62 (1990) 531; H. Dehmelt, Rev. Mod. Phys. 62 (1990) 525. M.F. Bocko and W.W. Johnson, Phys. Rev. Lett. 48 (1982) 1371. V.B. Braginsky and F.Ya. Khalili, Rev. Mod. Phys. 68 (1996) 1.
280 EXACT SOLUTIONS AND SCALAR FIELDS IN GRAVITY [38] J.F. Roch, G. Roger, P. Grangier, J.-M. Courty, and S. Reynaud, Appl. Phys. B55 (1992) 291. [39] I. Marzoli and P. Tombesi, Europhys. Lett. 24 (1993) 515. [40] A. Camacho, Phys. Lett. A256 (1999) 339; A. Camacho, Phys. Lett. A262 (1999) 110. [41] A. Camacho, Int. J. Mod. Phys. D, in press. [42] A. Camacho, Mod. Phys. Lett. A14 (1999) 275; A. Camacho, Mod. Phys. Lett. A14 (1999) 2545; A. Camacho, Mod. Phys. Lett. A15 (2000) 1461. [43] L. Viola and R. Onofrio, Phys. Rev. D55 (1997) 455; R. Onofrio and L. Viola, Mod. Phys. Lett. A12 (1997) 1411. [44] J. Audretsch, M. B. Mensky, and V. Namiot, Phys. Letts. A237 (1997) 1; A. Camacho and A. Camacho–Galván, Phys. Letts. A247 (1998) 373; A. Camacho, Phys. Lett. A277 (2000) 7.
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EXACT SOLUTIONS AND SCALAR FIELDS I
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To the 65th birthday of Heinz Dehne
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CONTENTS Preface Contributing Autho
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Contents ix 5 The case of 84 Part I
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Contents xi Luis O. Pimentel, Cesar
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Contents xiii 2.2 String theory ind
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PREFACE This book is dedicated to h
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CONTRIBUTING AUTHORS Eloy Ayón-Bea
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Contributing Authors xix Jaime Klap
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Contributing Authors xxi A.P. 70-54
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Contributing Authors xxiii L. Artur
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I EXACT SOLUTIONS
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SELF-GRAVITATING STATIONARY AXI- SY
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Self-gravitating stationary axisymm
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REFERENCES 13 be shown that the ana
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NEW DIRECTIONS FOR THE NEW MILLENNI
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New Directions for the New Millenni
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New Directions for the New Millenni
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REFERENCES 21 Acknowledgments The r
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ON MAXIMALLY SYMMETRIC AND TOTALLY
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On maximally symmetric and totally
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DISCUSSION OF THE THETA FORMULA FOR
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Theta formula for the Ernst potenti
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REFERENCES 51 Rosenhain’s theta f
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THE SUPERPOSITION OF NULL DUST BEAM
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The superposition of null dustbeams
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REFERENCES 61 geodesic with respect
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SOLVING EQUILIBRIUM PROBLEM FOR THE
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Solving equilibrium problem for the
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REFERENCES 67 where the subindices
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ROTATING EQUILIBRIUM CONFIGURATIONS
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Rotating equilibrium configurations
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Rotating equilibrium configurations
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REFERENCES 75 5. DISCUSSION The ana
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INTEGRABILITY OF SDYM EQUATIONS FOR
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Integrability of SDYM Equations for
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REFERENCES 87 [18] [19] [20] [21] [
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II ALTERNATIVE THEORIES AND SCALAR
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THE FRW UNIVERSES WITH BAROTROPIC F
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The FRW Universes with Barotropic F
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REFERENCES 99 (1979) 515; H. Dehnen
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HIGGS-FIELD AND GRAVITY Heinz Dehne
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Higgs-Field and Gravity 103 is defi
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Higgs-Field and Gravity 105 Consequ
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Higgs-Field and Gravity 107 From th
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REFERENCES 109 Evidently by inserti
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THE ROAD TO GRAVITATIONAL S-DUALITY
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The road to Gravitational S-duality
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REFERENCES 121 The partition functi
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EXACT SOLUTIONS IN MULTIDIMENSIONAL
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Exact solutions in multidimensional
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REFERENCES 131 For possible physica
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EFFECTIVE FOUR-DIMENSIONAL DILATON
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Dilaton gravity from Chern-Simons g
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A PLANE-FRONTED WAVE SOLUTION IN ME
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A plane-fronted wave solution in me
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REFERENCES 6. SUMMARY 151 We invest
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III COSMOLOGY AND INFLATION
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NEW SOLUTIONS OF BIANCHI MODELS IN
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New solutions of Bianchi models in
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REFERENCES 163 Further solutions of
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SCALAR FIELD DARK MATTER Tonatiuh M
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Scalar field dark matter 167 tional
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Scalar field dark matter 169 being
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Scalar field dark matter 171 of dar
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Scalar field dark matter 173 growin
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Scalar field dark matter 175 This s
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Scalar field dark matter 177 rotati
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Scalar field dark matter 179 where
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Scalar field dark matter 181 while
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REFERENCES 183 The hypothesis of th
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INFLATION WITH A BLUE EIGENVALUE SP
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Inflation with a blue eigenvalue sp
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REFERENCES 193 problem” for nonli
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CLASSICAL AND QUANTUM COSMOLOGY WIT
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Quantum cosmology with self-interac
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REFERENCES 203 [13] has considered
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THE BIG BANG IN GOWDY COSMOLOGICAL
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The Big Bang in Gowdy Cosmological
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THE INFLUENCE OF SCALAR FIELDS IN P
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The influence of scalar fields in p
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The influence of scalar fields in p
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REFERENCES 221 [3] by R.C. Kennicut
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ADAPTIVE CALCULATION OF A COLLAPSIN
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Adaptive Calculation of a Collapsin
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Adaptive Calculation of a Collapsin
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Page 260 and 261: REVISITING THE CALCULATION OF INFLA
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Page 272 and 273: CONFORMAL SYMMETRY AND DEFLATIONARY
Page 274 and 275: Conformal symmetry and deflationary
Page 284 and 285: REFERENCES 259 [16] R. Maartens, D.
Page 286 and 287: IV EXPERIMENTS AND OTHER TOPICS
Page 288 and 289: STATICITY THEOREM FOR NON-ROTATING
Page 290 and 291: Staticity Theorem for Non-Rotating
Page 292 and 293: Staticity Theorem for Non-Rotating
Page 294 and 295: REFERENCES 269 The boundary is cons
Page 296 and 297: QUANTUM NONDEMOLITION MEASUREMENTS
Page 298 and 299: Quantum nondemolition measurements
Page 306 and 307: ON ELECTROMAGNETIC THIRRING PROBLEM
Page 308 and 309: On Electromagnetic Thirring Problem
Page 318 and 319: REFERENCES 293 [8] [9] D. Brill and
Page 320 and 321: ON THE EXPERIMENTAL FOUNDATION OF M
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Page 334 and 335: REFERENCES 309 [12] [13] [14] [15]
Page 336 and 337: LORENTZ FORCE FREE CHARGED FLUIDS I
Page 338 and 339: Lorentz force free charged fluids i
Page 344 and 345: REFERENCES 319 force can be foresee
Page 346 and 347: Index Axisymmetries and configurati
Page 348 and 349: INDEX 323 Theorem (cont.) staticity
Page 350 and 351: Prof. Heinz Dehnen: Brief Biography
Page 352 and 353: Prof. Dietrich Kramer: Brief Biogra
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