| Preface | p. xi |
| Conventions and notation | p. xiv |
| Introduction | p. 1 |
| What is the scalar-tensor theory of gravitation? | p. 2 |
| Where does the scalar field come from? | p. 9 |
| The scalar field arising from the size of compactified internal space | p. 9 |
| The dilaton from string theory | p. 12 |
| The scalar field in a brane world | p. 16 |
| The scalar field in the assumed two-sheeted structure of space-time | p. 22 |
| Comments | p. 25 |
| The weak equivalence principle | p. 25 |
| The value of [omega] and mass of the scalar field | p. 28 |
| Conformal transformation | p. 29 |
| Mach's principle and Dirac's suggestion for time-dependent G | p. 31 |
| Does the scalar-tensor theory have any advantage over simple scalar theories? | p. 34 |
| The prototype Brans-Dicke model | p. 37 |
| The Lagrangian | p. 38 |
| Field equations | p. 40 |
| The weak-field approximation | p. 43 |
| The parameterized post-Newtonian approximation | p. 47 |
| A spinor field as matter | p. 53 |
| The mechanism of mixing | p. 57 |
| Conformal transformation | p. 61 |
| What is a conformal transformation? | p. 62 |
| Nonminimal coupling | p. 66 |
| Coupling to matter | p. 71 |
| The geodesic in the E frame | p. 74 |
| Cosmology with [Lambda] | p. 77 |
| How has the cosmological constant re-emerged? | p. 77 |
| The standard theory with [Lambda] | p. 82 |
| The prototype BD model without [Lambda] | p. 84 |
| The prototype BD model with [Lambda] | p. 88 |
| Solution in the J frame | p. 88 |
| Solution in the E frame | p. 91 |
| A proposed revision and remarks | p. 101 |
| Models of an accelerating universe | p. 105 |
| Dark energy | p. 106 |
| Quintessence | p. 110 |
| Quintessence in the brane world | p. 115 |
| A scalar field in the brane world | p. 116 |
| Quintessence in the brane world | p. 118 |
| Scalar-tensor theory | p. 124 |
| Hesitation behavior | p. 124 |
| A two-scalar model | p. 128 |
| Qualitative features unique to the two-scalar model | p. 139 |
| Quantum effects | p. 145 |
| Scale invariance | p. 147 |
| The dilaton as a Nambu-Goldstone boson | p. 151 |
| The contribution from loops | p. 155 |
| The coupling to matter of [sigma], a self-coupled scalar field | p. 155 |
| The coupling to matter of [sigma], scalar QED | p. 160 |
| Non-Newtonian gravity | p. 168 |
| A consequence of the suspected occurrence of the scalar field in the Maxwell term | p. 177 |
| Time-variability of the fine-structure constant | p. 179 |
| Electromagnetic coupling of [Phi subscript *] | p. 180 |
| The behavior of the scalar field | p. 184 |
| The scalar field from Kaluza-Klein theory | p. 187 |
| The curvature scalar from the assumed two-sheeted space-time | p. 192 |
| The field equation of gravity in the presence of nonminimal coupling | p. 195 |
| The law of conservation of matter | p. 198 |
| Eddington's parameters | p. 200 |
| Conformal transformation of a spinor field | p. 204 |
| Conformal transformation of the curvature scalar | p. 209 |
| A special choice for conformal invariance | p. 214 |
| The matter energy-momentum nonconservation law in the E frame | p. 216 |
| A modification to the [Lambda] term | p. 217 |
| Einstein's equation in the brane world | p. 219 |
| Dilatation current | p. 223 |
| Loop integrals in continuous dimensions | p. 225 |
| A conformal frame in which particle masses are finally constant | p. 227 |
| References | p. 230 |
| Index | p. 237 |
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