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

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322 INDEX<br />

Jeans<br />

condition, 223–227, 231, 232<br />

length, 172, 173, 182, 224, 226, 229, 231, 232<br />

mass, 224, 226<br />

Kerr<br />

black hole, 64, 67<br />

double-metric, 63<br />

double-solution, 63–67<br />

double-spacetime, 64<br />

metric, 16, 74<br />

Komar mass, 63, 64, 66, 67<br />

Lorentz<br />

force, 311, 314–318<br />

<strong>in</strong>variance, 112<br />

metric, 136<br />

M-theory, 112<br />

Metric-aff<strong>in</strong>e gravity, 141, 142<br />

Newtonian theory<br />

<strong>de</strong>f<strong>in</strong>ed, 3, 176, 181<br />

fluid, 10, 12<br />

gravity, 104, 105, 215, 273<br />

limit, 73, 74, 213, 215<br />

potential, 6, 104, 178, 181, 216, 277, 278<br />

Non-m<strong>in</strong>imal coupl<strong>in</strong>g<br />

scalar fields, 108, 263–265, 268, 269<br />

systems, 264<br />

Non-Newtonian gravity, 215, 271, 276<br />

Non<strong>de</strong>molition<br />

parameter, 271, 273<br />

quantum measurements, 271, 275<br />

variable, 271, 273<br />

Null dust, 53–56, 60<br />

beams, 53, 55<br />

solution, 53, 58<br />

Null-geo<strong>de</strong>sic method, 124, 126<br />

Perfect fluid, 7, 10, 18, 53, 71, 75, 92, 93, 176,<br />

180, 181, 311, 314, 315<br />

axisymmetric, 3, 7, 181<br />

barotropic, 3, 7–9, 91–93, 156, 201<br />

solution, 5, 12, 98<br />

Perturbations, 171, 172, 224, 237, 288<br />

cosmological, 236<br />

curvature, 237<br />

dark energy, 172<br />

<strong>de</strong>nsity, 185, 191, 214, 225<br />

formalism, 186<br />

<strong>in</strong>flationary, 235, 237, 241<br />

numerical, 186<br />

scalar, 172, 192, 238, 244<br />

scale-<strong>in</strong>variant, 214<br />

Perturbations (cont.)<br />

tensor, 188, 191, 192, 235, 236, 242<br />

Planck<br />

constant, 79<br />

energy, 299<br />

mass, 105, 165, 175, 182, 237, 255<br />

satellite, 193, 235, 236<br />

scale, 174<br />

Power spectrum, 173, 182, 235, 236, 239, 241<br />

blue, 185, 186, 189–191, 193<br />

mass, 165, 173, 174<br />

scalar, 171, 172, 242, 244<br />

tensorial, 242<br />

PPN parameters, 123, 124<br />

Quantum cosmology, 195, 202, 203, 205, 274<br />

Quantum gravity, 296, 297, 299, 300, 305, 306,<br />

308<br />

Radiation, 55, 95, 146, 168–170, 256<br />

dom<strong>in</strong>ated era, 169, 250, 253–255, 257<br />

gravitational, 4, 275<br />

<strong>in</strong>coherent, 53, 91, 92<br />

<strong>Scalar</strong> field, 91, 92, 94, 95, 97, 101, 105, 123, 124,<br />

165, 166, 168–172, 174–182, 185, 187, 191,<br />

195, 198, 202, 213, 215, 217–200, 236, 248,<br />

255–258, 263–266, 269<br />

<strong>Scalar</strong>-tensor theory, 91, 92, 105, 155, 156, 158,<br />

162, 195, 196, 202, 213, 215<br />

Soliton, 69, 75<br />

Space, geo<strong>de</strong>sic, 23, 24<br />

Special Relativity, 295, 303, 307, 311, 317<br />

Spectral <strong>in</strong><strong>de</strong>x, 17, 186, 188–192, 235, 236, 239,<br />

240, 242–244<br />

Sphericity<br />

<strong>and</strong> cloud, 213, 214, 216, 225<br />

<strong>and</strong> coord<strong>in</strong>ate, 6, 224, 226, 227<br />

<strong>and</strong> fluctuation, 165, 176, 178<br />

<strong>and</strong> symmetry, 54, 55, 60, 123, 124, 129, 165,<br />

177–180, 214, 225, 265, 282<br />

Str<strong>in</strong>g theory, 112, 160, 162, 196, 264, 296, 298–<br />

300<br />

Sub-space, geo<strong>de</strong>sic, 23, 24, 35<br />

Theorem, 23, 32, 85, 178, 205, 206<br />

black hole uniqueness, 270<br />

Fairlie & Leznov, 85<br />

Fredholm alternative, 18<br />

Frobenius, 265<br />

Hawk<strong>in</strong>g-Penrose, 205<br />

maximally symmetric hypersurface, 32<br />

maximally symmetric spaces, 31<br />

no-hair, 263, 264, 290<br />

no-go, 189

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