The scalartensor theory of gravitation by yasunori fujii. Bransdicke theory is famous scalartensor theory which has a coupling parameter. The scalartensor theory of gravitation yasunori fujii and keiichi maeda ed 2003 cambridge. Scalartensor theories of gravity loyola university. The relation between scalartensor theory and f rgravity, and their possible equivalence, has been studied by many authors.

Tensor gw search might miss some type of sources, e. The scalartensor theory of gravitation iopscience institute of. Sperhake damtp, university of cambridgecore collapse in scalartensor theory of gravity02102015 15 33. The general theory of relativity is an astounding accomplishment. This article focuses on relativistic classical field theories of gravitation. However, barber 1982 has modified bransdicke scalartensor theory to.

Gravitomagnetic monopole in a scalartensor theory of gravity. Riemannian geometry in which both the metric tensor and the scalar function have an unambiguous geometric interpretation. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar fields and placing them in context with a discussion of bransdicke theory. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar fields and placing them in context with a. Field of charged mass point in a scalartensor theory of gravitation b.

The latter is a socalled scalartensor theory of gravitation 23, comprising a scalar field and the wellknown metric tensor from gr that are coupled to each other. For example, in scalartensor theory, the massless scalar field excites the transverse breathing polarization, while the massive one also excites the longitudinal polarization 1617181920. We discuss the dynamics of extended test bodies for a large class of scalartensor theories of gravitation. If one expands exp a2 1 aw2, neglecting higher order terms, the effective values of g and a resemble those of the scalartensor theory of schmidt et al. The scalartensor theory of gravitation inspire inspire hep. String cosmological model in a new scalar tensor theory of. There too the coefficient functions can be chosen to give selfinflating universes. Scalartensor theory of gravitation cambridge monographs. It explores scalar fields, placing them in context with a discussion of bransdicke. The field equations of the theory, and the lagrangian from which they are derived, are identical to. For example, the bransdicke theory of gravitation uses both a scalar field.

String cosmological model in a new scalar tensor theory of gravitation r. This theory does not allow the scalar field to interact with fundamental principles and photons. The largest part of the relevant literature is devoted to the study of the equivalence between purely metric f rgravity and a speci. The scalartensor theory of gravitation request pdf. This is applied to the exterior solution in the static case with. Here we consider a very general variational principle and we prove that, in the exterior case without electromagnetic field, the solution for a particular case generates the set of solutions for the general case. Appendix a the scalar field from kaluzaklein theory. Considerable progress has been made in this exciting area of physics and this book is the first to provide a critical overview of the research. Chiba physics letters b 575 2003 3 evaluating v around.

The scalar tensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. This book introduces the subject at a level suitable for both graduate students and researchers. The scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Together with quantum eld theory, it is now widely considered to be one of the two pillars of modern physics. Several theories with scalar field can be derived from different variational principles. The scalartensor theory of gravitation moved into the limelight in recent years due to developments in string theory, mtheory and brane world constructions. Propagation of gravitational waves in the generalized. We consider a new form of theories of gravity in which the action is written in terms of the ricci scalar and its first and second. Topics covered include the cosmological constant problem, time variability of coupling. Scalar theories of gravitation are field theories of gravitation in which the gravitational field is described using a scalar field, which is required to satisfy some field equation note. Department of mathematics, berhampur university, odisha india abstract explicit field equation of a new scalar tensor theory of gravitation proposed by the sendunn theory are obtained with the help of a four dimensional spherically. Speed of gravitational waves and the fate of scalartensor. Here, the tensor field is identified with the spacetime of riemannian geometry and scalar field is alien to geometry. The scalartensor theory of gravitation the scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation.

The best known relativistic classical field theory of gravitation, general relativity, is a tensor theory, in which the. Damtp, university of cambridgecore collapse in scalartensor theory of gravity02102015 14 33. Ascalartheoryof gravity had earlier been attempted by g. A covariant scalar tensor vector gravity theory is developed which allows the gravitational constant g, a vector field coupling. From bransdicke gravity to geometric scalartensor theory. A covariant scalartensorvector gravity theory is developed which allows the gravitational constant g, a vector field coupling. Generalized scalartensor theory of gravity reconstruction. Of course, the story begins long before my involvement, going. In theoretical physics, a scalartensor theory is a field theory that includes both a scalar field and a tensor field to represent a certain interaction. In the case of a scalartensor theory of gravity 23, the scalar degrees of freedom are interacting with the gravitational metric tensor g.

However, in the derivation of the equations from the action principle some inconsistencies were observed, like the need no to vary the electromagnetic. Scalartensor theory of gravity carrying a conserved current. Theories of gravitation which include, besides the metric, one or more scalar fields. The scalar function is introduced by defining a linear connection with nonvanishing torsion. A general scalartensor theory of gravity carries a conserved current for a tracefree minimally coupled scalar field, under the condition that the potential v. Static gravitational fields in a general class of scalar. Field of charged mass point in a scalartensor theory of. Cosmology in scalartensor gravity fundamental theories. The conserved current relates the pair of arbitrary coupling parameters f.

In order to shed additional light on the restrictive assumptions made by dicke concerning the coupling of the scalar field with matter, the ponderomotive laws of a scalartensor theory are constructed free of approximations in the. Scalartensor theories are discussed as encompassing three classical longrange fields, including the electromagnetic field. The equations of motion for a test particle lead to a modified gravitational acceleration law that can fit galaxy rotation curves and cluster data without. Thus, we reconstructed the parameters 3031ofthe scalartensor gravity theory for this type of potentials in the in. Satyanarayana, department of basic science and humanities, gmr institute of technology, rajam 532127, andhra pradesh abstract. For example, the bransdicke theory of gravitation uses both a scalar field and a tensor field to mediate the gravitational interaction. The theory itself is couched in the language of di erential geometry, and was a pioneer for the use of modern mathematics in physical theories, leading the way for. Cosmology in scalartensor gravity covers all aspects of cosmology in scalartensor theories of gravity. Equations of motion in scalartensor theories of gravity. Einsteins general theory of relativity is a geometrical theory of spacetime. Arguments will be presented to show that it may be possible to construct model universes. In the scalartensor theories context, the gravitational e ects are described by two elds. From bransdicke gravity to geometric scalartensor theory c.

Scalar tensor theory of gravitation to explain emdrive. The static field equations are investigated within the framework of a general class of scalar. In this sense, search for sgw is complementary to current gw search. All classes of spatially homogeneous spacetime models in the generalized scalartensor theory of gravity are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of %complete separation of variables by type 3. Scalar field in gravitational theory sciencedirect. Three classes of exact solutions are obtained that relate to wavelike spacetime models. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar.

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