Exact Solutions and Scalar Fields in Gravity - Instituto Avanzado de ...

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Contents xi Luis O. Pimentel, Cesar Mora 1 Introduction 2 Isotropic models 2.1 Gauge N=l Case Case 2.2 Gauge N=l/x Classical solutions Classical solutions for Brans–Dicke theory 3 Anisotropic models 3.1 Exact solutions for Bianchi I with 3.2 Solutions for Bianchi I with another potential 3.3 Exact solutions for Bianchi II with 4 Final remarks The Big Bang in Hernando Quevedo Gowdy Cosmological Models 1 Introduction 2 Gowdy Cosmological Models 3 Analogies and general results 4 The Big Bang 195 196 197 197 198 198 199 199 200 201 201 202 202 205 205 206 208 210 The influence of scalar fields in protogalactic interactions 213 M. A. Rodriguez–Meza, Jaime Klapp, Jorge L. Cervantes-Cota, Heinz Dehnen 1 Introduction 213 2 Scalar Fields and the Newtonian Approximation 215 3 Protogalactic Cloud Models and Results 216 4 Conclusions 220 Adaptive Calculation of a Collapsing Molecular Cloud Core: The Jeans Condition Leonardo Di G. Sigalotti, Jaime Klapp 1 2 3 4 Introduction Initial Model and Computational Methods Results Conclusions Revisiting the calculation of inflationary perturbations César A. Terrero–Escalante, Dominik J. Schwarz, Alberto Garcia 1 Introduction 2 The standard formulas 2.1 Amplitudes of inflationary perturbations 2.2 The spectral indices 3 Generalizing the Bessel approximation 3.1 Generalized power–law approximation 3.2 Generalized slow–roll approximation 3.3 The spectral indices An alternative for more general models 223 223 225 228 232 235 235 236 237 239 241 241 242 243 243
xii EXACT SOLUTIONS AND SCALAR FIELDS IN GRAVITY 4 5 Testing the expressions Conclusions Conformal symmetry and deflationary gas universe Winfried Zimdahl, Alexander B. Balakin 1 Introduction 2 Fluid description 3 Gas dynamics 4 Cosmological dynamics and conformal symmetry 5 Phenomenological vacuum decay 6 Equivalent scalar field dynamics 7 Conclusions Part IV Experiments and Other Topics Staticity Theorem for Non–Rotating Black Holes with Non–Minimally Coupled Self–Interacting Scalar Fields Eloy Ayón–Beato 1 2 3 Introduction The Staticity Theorem for Non–Minimally Coupled Scalar Fields 265 Conclusions Quantum nondemolition measurements and non–Newtonian gravity A. Camacho 1 Introduction 2 Yukawa term 3 Quantum Measurements 4 Quantum nondemolition measurements 5 QND and non–Newtonian gravity: Propagators and probabilities 6 Conclusions On Electromagnetic Thirring Problems Markus King, Herbert Pfister 1 Introduction 2 The Static Two–Shell Model 3 First Order Rotation of the Shells 4 Results 4.1 Results in first order of the charge 4.2 Results in second order of the charge 4.3 Results exact in mass M and charge 244 245 247 247 249 250 252 255 256 257 263 263 269 271 271 273 274 275 276 277 281 281 282 285 288 289 291 292 On the experimental foundation of Maxwell’s equations C. Lämmerzahl 295 1 Introduction 295 2 Quantum gravity inspired modification of Maxwell’s equations 296 2.1 Loop gravity induced corrections 297
Page 2 and 3: EXACT SOLUTIONS AND SCALAR FIELDS I
Page 4 and 5: EXACT SOLUTIONS AND SCALAR FIELDS I
Page 6 and 7: To the 65th birthday of Heinz Dehne
Page 8 and 9: CONTENTS Preface Contributing Autho
Page 10 and 11: Contents ix 5 The case of 84 Part I
Page 14 and 15: Contents xiii 2.2 String theory ind
Page 16 and 17: PREFACE This book is dedicated to h
Page 18 and 19: CONTRIBUTING AUTHORS Eloy Ayón-Bea
Page 20 and 21: Contributing Authors xix Jaime Klap
Page 22 and 23: Contributing Authors xxi A.P. 70-54
Page 24 and 25: Contributing Authors xxiii L. Artur
Page 26 and 27: I EXACT SOLUTIONS
Page 28 and 29: SELF-GRAVITATING STATIONARY AXI- SY
Page 30 and 31: Self-gravitating stationary axisymm
Page 38 and 39: REFERENCES 13 be shown that the ana
Page 40 and 41: NEW DIRECTIONS FOR THE NEW MILLENNI
Page 42 and 43: New Directions for the New Millenni
Page 44 and 45: New Directions for the New Millenni
Page 46 and 47: REFERENCES 21 Acknowledgments The r
Page 48 and 49: ON MAXIMALLY SYMMETRIC AND TOTALLY
Page 50 and 51: 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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EXACT SOLUTIONS AND SCALAR FIELDS I
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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
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QUANTUM NONDEMOLITION MEASUREMENTS
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Quantum nondemolition measurements
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REFERENCES 279 [11] M. Kasevich and
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ON ELECTROMAGNETIC THIRRING PROBLEM
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On Electromagnetic Thirring Problem
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REFERENCES 293 [8] [9] D. Brill and
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ON THE EXPERIMENTAL FOUNDATION OF M
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On the experimental foundation of M
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REFERENCES 309 [12] [13] [14] [15]
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LORENTZ FORCE FREE CHARGED FLUIDS I
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Lorentz force free charged fluids i
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REFERENCES 319 force can be foresee
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Index Axisymmetries and configurati
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INDEX 323 Theorem (cont.) staticity
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Prof. Heinz Dehnen: Brief Biography
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Prof. Dietrich Kramer: Brief Biogra
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