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Index Axisymmetries and configuration, 3, 4, 8, 54, 72 and field, 16, 20, 58 and solution, 8, 16, 19, 206, 209–211 and spacetime, 16, 205, 208–212 Bergmann-Wagoner theory, 195, 203 Bianchi identity, 9, 28, 125 model, 155–162, 195, 200–203, 205 Brans-Dicke theory, 91, 92, 155, 196, 199, 200 Chern-Simons, 111, 119–121, 133–135 Compton wavelength, 272 Cosmological constant, 105, 109, 117, 119, 124, 126, 133, 134, 136, 139–141, 143, 146, 151, 156, 167, 170 Dark matter, 109, 165–171, 173–179, 181, 182, 214, 216, 300 Deflationary dynamics, 253, 254, 257, 258 evolution, 247, 248 universe, 247 Dilaton, 272 axi-gravity, 264 Einstein-Maxwell-theory, 133, 134, 140 field, 123, 124, 133, 137, 140, 196 gravity, 133 Ernst equation, 11, 16–18, 20, 40, 72, 75, 77, 208 potential, 11, 39, 40, 48, 65, 72–74, 206, 207, 211 321 FRW cosmology, 93 metric, 93, 168, 196 model, 96, 155–159, 162 solution, 94, 158, 159, 162 universe, 91, 155, 158, 159, 162, 163 Gauge field, 101, 106, 109, 117, 118, 135, 136, 142, 143, 251 General relativity, 4, 7, 8, 12, 15, 53, 64, 77, 91, 112, 141, 155, 163, 202, 258, 270, 271, 295, 297, 311, 314, 318 Geodesies, 12, 13, 32, 35, 126 null, 56 Geroch group, 15, 16, 18 Gowdy cosmological models, 205–212 Higgs -gravity, 104, 105 field, 101–109 mechanism, 105 particle, 101 potential, 101, 105, 107, 108 Hypersurface, geodesic, 23, 24, 32, 34, 36 Induced gravity, 155, 156 Inflation, 91, 155, 156, 160–162, 169, 170, 185– 187, 190–193, 196, 201, 214, 235–237, 239– 246, 248, 256 Inflaton, 185–187, 192 Isotropization, 162 mechanism, 156, 161 solution, 158
322 INDEX Jeans condition, 223–227, 231, 232 length, 172, 173, 182, 224, 226, 229, 231, 232 mass, 224, 226 Kerr black hole, 64, 67 double-metric, 63 double-solution, 63–67 double-spacetime, 64 metric, 16, 74 Komar mass, 63, 64, 66, 67 Lorentz force, 311, 314–318 invariance, 112 metric, 136 M-theory, 112 Metric-affine gravity, 141, 142 Newtonian theory defined, 3, 176, 181 fluid, 10, 12 gravity, 104, 105, 215, 273 limit, 73, 74, 213, 215 potential, 6, 104, 178, 181, 216, 277, 278 Non-minimal coupling scalar fields, 108, 263–265, 268, 269 systems, 264 Non-Newtonian gravity, 215, 271, 276 Nondemolition parameter, 271, 273 quantum measurements, 271, 275 variable, 271, 273 Null dust, 53–56, 60 beams, 53, 55 solution, 53, 58 Null-geodesic method, 124, 126 Perfect fluid, 7, 10, 18, 53, 71, 75, 92, 93, 176, 180, 181, 311, 314, 315 axisymmetric, 3, 7, 181 barotropic, 3, 7–9, 91–93, 156, 201 solution, 5, 12, 98 Perturbations, 171, 172, 224, 237, 288 cosmological, 236 curvature, 237 dark energy, 172 density, 185, 191, 214, 225 formalism, 186 inflationary, 235, 237, 241 numerical, 186 scalar, 172, 192, 238, 244 scale-invariant, 214 Perturbations (cont.) tensor, 188, 191, 192, 235, 236, 242 Planck constant, 79 energy, 299 mass, 105, 165, 175, 182, 237, 255 satellite, 193, 235, 236 scale, 174 Power spectrum, 173, 182, 235, 236, 239, 241 blue, 185, 186, 189–191, 193 mass, 165, 173, 174 scalar, 171, 172, 242, 244 tensorial, 242 PPN parameters, 123, 124 Quantum cosmology, 195, 202, 203, 205, 274 Quantum gravity, 296, 297, 299, 300, 305, 306, 308 Radiation, 55, 95, 146, 168–170, 256 dominated era, 169, 250, 253–255, 257 gravitational, 4, 275 incoherent, 53, 91, 92 Scalar field, 91, 92, 94, 95, 97, 101, 105, 123, 124, 165, 166, 168–172, 174–182, 185, 187, 191, 195, 198, 202, 213, 215, 217–200, 236, 248, 255–258, 263–266, 269 Scalar-tensor theory, 91, 92, 105, 155, 156, 158, 162, 195, 196, 202, 213, 215 Soliton, 69, 75 Space, geodesic, 23, 24 Special Relativity, 295, 303, 307, 311, 317 Spectral index, 17, 186, 188–192, 235, 236, 239, 240, 242–244 Sphericity and cloud, 213, 214, 216, 225 and coordinate, 6, 224, 226, 227 and fluctuation, 165, 176, 178 and symmetry, 54, 55, 60, 123, 124, 129, 165, 177–180, 214, 225, 265, 282 String theory, 112, 160, 162, 196, 264, 296, 298– 300 Sub-space, geodesic, 23, 24, 35 Theorem, 23, 32, 85, 178, 205, 206 black hole uniqueness, 270 Fairlie & Leznov, 85 Fredholm alternative, 18 Frobenius, 265 Hawking-Penrose, 205 maximally symmetric hypersurface, 32 maximally symmetric spaces, 31 no-hair, 263, 264, 290 no-go, 189
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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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REFERENCES 233 [5] [6] [7] [8] [9]
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REVISITING THE CALCULATION OF INFLA
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Revisiting the calculation of infla
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CONFORMAL SYMMETRY AND DEFLATIONARY
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Conformal symmetry and deflationary
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REFERENCES 259 [16] R. Maartens, D.
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IV EXPERIMENTS AND OTHER TOPICS
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STATICITY THEOREM FOR NON-ROTATING
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Staticity Theorem for Non-Rotating
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Staticity Theorem for Non-Rotating
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REFERENCES 269 The boundary is cons
Page 296 and 297: QUANTUM NONDEMOLITION MEASUREMENTS
Page 298 and 299: Quantum nondemolition measurements
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Page 306 and 307: ON ELECTROMAGNETIC THIRRING PROBLEM
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Page 320 and 321: ON THE EXPERIMENTAL FOUNDATION OF M
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Page 336 and 337: LORENTZ FORCE FREE CHARGED FLUIDS I
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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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