It is observed that these anisotropic and isotropic dark energy cosmological models always represent an. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar fields and placing them in context with a. Some important features of the models, thus obtained, have been. Abstract a theory of gravitation with a flat background metric and a dynamical variable phi variable gravitational constant is investigated. Dynamics of scalar potentials in theory of gravity. Bd, tends to infinity, the results of general relat.
The scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Kantowskisachs string cosmological model with bulk viscosity. The best known relativistic classical field theory of gravitation, general relativity, is a tensor theory, in which the. The scalartensor theory of gravitation the scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. It is therefore reasonable to study alternative theories of gravitation and compute the violations produced. Scalar tensor theory of gravitation to explain emdrive. The field equations of the theory, and the lagrangian from which they are derived, are identical to.
The scalar function is introduced by defining a linear connection with nonvanishing torsion. It explores scalar fields, placing them in context with a discussion of bransdicke. Bianchi typei universe with wet dark fluid in scalartensor theory of gravitation. 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. We set the corresponding selfinteraction potentials to zero, as in the standard form of mog. Bianchi typei cosmological model in scalar tensor theories of gravitation with viscous fluid. The scalartensor theory of gravitation iopscience institute of. Scalartensor theories of gravitation, in which gravity is mediated by a longrange scalar eld in addition to the usual tensor elds present in einsteins theory, are the most natural alternatives to general relativity gr. Qualitative properties of scalartensor theories of gravity abstract. A five dimensional frw cosmological spacetime is considered in the scalartensor theory of gravitation proposed by saez and ballester phys. Pdf 434 k pdf plus 492 k dynamics of scalar potentials in theory of gravity. The field equations of the theory, and the lagrangian from which they are derived, are identical to those given. Appendix a the scalar field from kaluzaklein theory. Scalartensor theories of gravity were originally mo.
Is there gr in the bimetric scalartensor theory of gravitation. 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 derivatives. Qualitative properties of scalartensor theories of gravity. Cosmology in scalar tensor gravity covers all aspects of cosmology in scalar tensor theories of gravity. Dicke theory where the tensor field alone is geometrized and the scalar field is alien to the geometry. Generalized scalartensor theory of gravity reconstruction. Satyanarayana, department of basic science and humanities, gmr institute of technology, rajam 532127, andhra pradesh abstract. However, in the derivation of the equations from the action principle some inconsistencies were observed, like the need no to vary the electromagnetic. The scalartensor theory of gravitation yasunori fujii. In order to examine the gravitational waves emitted from the neutron stars in the tensor vector scalar teves theory, we derive the perturbation equations for relativistic stars, where for simplicity we omit the perturbations of the vector field.
Despite the higher derivative nature of the action, the theory is free from ghost under an appropriate. For a general class of scalartensor theories of gravitation the properties of exact static sphericallysymmetric vacuum and electrovac solution are discussed. Therefore, woodwards theory is examined within hoylenarlikars scalartensor theory of gravitation a theory that was expressly developed with the intent to incorporate machs principle for a universe undergoing accelerating expansion hereby accounted for by a positive cosmological constant. Since the scalartensor theory of gravitation was proposed almost 50 years ago, it has recently become a robust alternative theory to einsteins general relativity. Riemannian geometry in which both the metric tensor and the scalar function have an unambiguous geometric interpretation. Scalartensor theory of gravitation in minkowski spacetime. Field of charged mass point in a scalartensor theory of gravitation b. Lrs bianchi type v cosmology with heat flow in scalar. A new class of spatially homogeneous kantowskisachs string cosmological models with bulk viscosity in nordtvedt 1970 general scalar tensor theory of gravitation with the help of a special case proposed by schwinger 1970 is obtained.
Lrs bianchi typei dark energy cosmological models in. For example, the bransdicke theory of gravitation uses both a scalar field and a tensor field to mediate the gravitational interaction. Bransdicke theory by considering the most general scalar tensor theory of gravity where the free parameter w becomes a free function of the scalar field, say wrp, and where the scalar field 0 can have an arbitrary potential v0. In this paper general solution are found for domain walls in saez balleters1 scalar tensor theory of gravitation in the kantowski sachs space time. One of the most popular theories among them is a scalar tensor theory of gravitation, proposed by brans and dicke 1961. Einsteins general theory of relativity is a geometrical theory of spacetime. It is observed that these anisotropic and isotropic dark energy cosmological models always represent an accelerated universe. We mention it here because one of the field equations of this theory involves only the scalar field and the trace of the stressenergy tensor, as in nordstroms theory. The scalartensor theory of gravitation by yasunori fujii. Bianchi typei universe with wet dark fluid in scalar. We study qstars in bransdicke gravitational 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 discussion of bransdicke theory. Exact solutions of the field equations are derived when the metric potential are functions of cosmic time only.
May 15, 2019 therefore, woodwards theory is examined within hoylenarlikars scalartensor theory of gravitation a theory that was expressly developed with the intent to incorporate machs principle for a universe undergoing accelerating expansion hereby accounted for by a positive cosmological constant. Abstract field equation s in the presence of wet dark fluid spacetime. Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. The modification involves a violation of the strong principle of equivalence on which einsteins theory is based. In blackhole physics, the second law of thermodynamics is generally valid whether the blackhole is a static or a nonstatic one. Pdf on the cosmology of scalartensorvector gravity. Cosmology in scalartensor gravity covers all aspects of cosmology in scalartensor theories of gravity. The scalar tensor theory of gravitation moved into the limelight in recent years due to developments in string theory, m theory and brane world constructions. 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. We focus on single and multi scalartensor theories.
Zubair, a farzana kousar, a saira waheed b a department of mathematics, comsats university islamabad, lahorecampus, pakistan b prince mohammad bin fahd university, al khobar, 31952 kingdom of saudi arabia. Qstars in scalartensor gravitational theories sciencedirect. Dicke1 introduced a scalar tensor theory of gravitation involving a scalar function in addition to the familiar general relativistic metric tensor. Field of charged mass point in a scalartensor theory of. This article focuses on relativistic classical field theories of gravitation. Three classes of exact solutions are obtained that relate to wavelike spacetime models. Pdf einsteinrosen universe in a scalartensor theory of. 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. Scalartensor theory of gravity and generalized second law. Several aspects of strange quark matter attached to string cloud have been. Pdf on the cosmology of scalartensorvector gravity theory. Some physical and geometric properties of the solutions are also discussed. Pdf some bianchi typei cosmic strings in a scalar tensor.
The latter is a socalled scalar tensor theory of gravitation 23, comprising a scalar field and the wellknown metric tensor from gr that are coupled to each other. Pdf tilted bianchi type vi0 cosmological model in saez. Modem revivals of the kalumklein idea often lead to the introduction of sev. Is there gr in the bimetric scalartensor theory of.
The scalartensor theory of gravitation request pdf. Field equations in the presence of a perfect fluid distribution are obtained in a scalartensor theory of gravitation proposed by saez and ballester phys. This book introduces the subject at a level suitable for both graduate students and researchers. We consider the cosmological consequences of a special scalartensorvector theory of gravity, known as mog for modified gravity, proposed to address the dark matter problem. Cosmology in scalartensor gravity fundamental theories. Tilted bianchi type vi0 cosmological model is investigated in a new scalar tensor theory of gravitation proposed by saez and ballester physics letters a 1. In the scalartensor theory of gravitation, the parameter g that described the local strength of gravitational interactions is no longer a universal constant, it is equal to 1. When such a particle is mini mally coupled to the gravitational field in gr, this is the only option. The seismic response of the earth to secondary gravitational radiation emitted from a scalar field according to the scalartensor theory of gravitation is investigated. We set the corresponding selfinteraction potentials to zero, as in the standard form of. Gravitational waves in scalartensorvector gravity theory.
Theories of gravitation which include, besides the metric, one or more scalar fields. The general theory of relativity is an astounding accomplishment. Cosmology in scalartensor gravity fundamental theories of. Scalartensor theory of gravitation cambridge monographs on. Jan 05, 2017 the scalartensor theory of gravitation proposed by mbelek and lachiezerey has been shown to lead to a possible explanation of the forces measured in asymmetric resonant microwave cavities. Kantowskisachs string cosmological model with bulk.
A five dimensional frw cosmological spacetime is considered in the scalar tensor theory of gravitation proposed by saez and ballester phys. The seismic response of the earth to secondary gravitational radiation emitted from a scalar field according to the scalar tensor theory of gravitation is investigated. For this reason the theory may be called a tensor theory. In order to examine the gravitational waves emitted from the neutron stars in the tensorvectorscalar teves theory, we derive the perturbation equations for relativistic stars, where for simplicity we omit the perturbations of the vector field. Scalartensor theories of gravity loyola university. The scalar tensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Scalartensor theory of gravitation cambridge monographs. We analyse several possible cou plings, with acceptable weak field limit and, when known, nucleosynthesis. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar. The theory is more consistent with machs principle and less reliant on absolute properties of space. In the covariant theory of gravitation the generalized force, as the rate of change of the generalized momentum by the coordinate time, depends also on the gradient of the energy of gravitational field associated with the matter unit and determined by the gravitational field tensor. Tilted bianchi type vi0 cosmological model is investigated in a new scalar tensor theory of gravitation pro posed by saez and ballester physics letters a 1.
Ascalartheoryof gravity had earlier been attempted by g. Cases are considered in which this secondary radiation and the response to it are comparable with or exceed the corresponding value for primary gravitational radiation in the. Bransdicke scalartensor theory of gravitation may explain. 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.
A new equation of state for the dark energy component of the universe has been used. Gravitational radiation in the scalartensor theory of. A generalization of einsteins theory is discussed in which the gravitation is described by a tensor and a scalar field. The scalartensor theory of gravitation moved into the limelight in recent years due to developments in string theory, mtheory and brane world constructions. A scalar theory of gravity had earlier been attempted by g. Tilted bianchi type vi0 cosmological model in saez and. Some physical and geometrical properties of the solutions are also discussed. The scalartensor theory of gravitation yasunori fujii, kei. In this paper we have presented anisotropic as well as isotropic cosmological models. Some important features of the models, thus obtained. Pdf tilted bianchi type vi0 cosmological model in saez and.
It is shown that such bimetric scalartensor theory bstt generalized general relativity gr as all the solutions of gr equations and phi x constant satisfy bstt equations, firstly, and bstt equations contain noneinstein solutions. Kantowski sachs domain walls in saez ballesters scalar. 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. The scalartensor theory of gravitation yasunori fujii and keiichi maeda ed 2003 cambridge. It is shown that such bimetric scalar tensor theory bstt generalized general relativity gr as all the solutions of gr equations and phi x constant satisfy bstt equations, firstly, and bstt equations contain noneinstein solutions with the.
Lrs bianchi typei dark energy cosmological models in general. The scalartensor theory of gravitation yasunori fujii nihon fukushi university keiichi maeda waseda university, tokyo. Some bianchi typei cosmic strings in a scalar tensor theory of gravitation. On the other hand, postnewtonian perfect fluid metric for this class of theories is found and compared with the exact vacuum solution. 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. Equations of motion in scalartensor theories of gravity. Together with quantum eld theory, it is now widely considered to be one of the two pillars of modern physics. Bransdicke theory is a scalartensor theory, not a scalar theory, meaning that it represents the gravitational interaction using both a scalar field and a tensor field. Locally rotationally symmetric lrs bianchi typei dark energy cosmological model with variable equation of state eos parameter in nordtvedt 1970 general scalar tensor theory of gravitation with the help of a special case proposed by schwinger 1970 is obtained. Atsushi naruko, daisuke yoshida, shinji mukohyama download pdf.
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