We study a threeparameter family of solutions of the brans dicke field equations. Brans building upon, among others, the earlier work of pascual jordan. Spherically symmetrical cosmological model in brans dicke. In both jordan and einstein frames, brans dicke theory has four secondary first class constraints, whose constraint algebra is different. The model is compared to that described by using the intermediate model in einstein general relativity theory. A conversation with dick dudley koltchinskii, vladimir, nickl, richard, and rigollet, philippe, statistical science, 2019. We present an intermediate inflationary stage in a jordan brans dicke theory. The bransdicke bd theory of gravity is taken as a possible theory of kessence coupled to gravity. From wikibooks, open books for an open world pdf 619 k pdf plus 7 k citing articles. It is found that the quantum gravity effects come into play in the same scale as that of.
We consider axially symmetric su2 yangmillshiggs ymh multimonopoles in bransdicke theory for winding number n1. On the emergence of the cdm model from selfinteracting brans. Then i have discussed the derivation of the field equation for the bd. The bd theory fully incorporated machs principle into gr by the inclusion of an inertial scalar. We formulate a theory combining the principles of a scalartensor gravity and rastalls proposal of a violation of the usual conservation laws. Intermediate inflation in the jordanbransdicke theory. We report strong cosmological constraints on the brans dicke theory of gravity using cosmic microwave background data. Hydrodynamic calculations of spherical gravitational collapse in the scalartensor theory of gravity takuya matsuda and hidekazu nariai. Time variation of the matter content of the expanding. We noticed that the presence of scalar field does not affect the. Discrete cosmological models in the bransdicke theory of gravity. Wave maps in gravitational theory narita, makoto, 2007 asymptotic black hole quasinormal frequencies motl, lubos and neitzke, andrew, advances in theoretical and mathematical physics, 2003 greybody factors for ddimensional black holes harmark, troels, natario, jose, and schiappa, ricardo, advances in theoretical and mathematical physics, 2010.
We find the range of parameters for which this solution represents a black hole different from the schwarzschild one. In theoretical physics, the bransdicke theory of gravitation is a theoretical framework to. Canadian journal of physics canadian science publishing. In analogy to the spherically symmetric n1 solutions, we find that the axially symmetric solutions exist for higher values of the gravitational coupling than in the pure einstein gravity case. Lifshitz black holes in bransdicke theory springerlink. Bransdicke theory branz dik a relativistic theory of gravitation put forward in the 1960s by carl brans and robert dicke as a variant of einsteins general theory of relativity. Bound monopoles in bransdicke theory sciencedirect. Given that the simple wave equation of brans dicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the bianchi identities, the consistent theories which violate the exact energy conservation equation. Signchangeable holographic dark energy in bransdicke theory. Oct 28, 2003 brans dicke theory is machian in the mach1 sense of that paper. Bianchi types ii, viii, and ix string cosmological models. That is, first in the bd scalar fielddominated era when the contribution from this kessence. Self creation cosmology an alternative gravitational. Friedmann equation for bransdicke cosmology international.
Modern physicsgravity wikibooks, open books for an open. A revised model of the inflationary universe under the framework of bransdicke theory is proposed. Bransdicke theory represents a minority viewpoint in physics. On the emergence of the cdm model from selfinteracting. We use the power law relation between scalar field and scalar factor to find the. We report strong cosmological constraints on the bransdicke theory of gravity using cosmic microwave background data. Bransdicke theory with a selfinteracting potential and a dynamical bransdicke parameter.
We find a subfamily of solutions which agrees with experiments and observations in the solar system. The historical motivation for the bransdicke theory and its connection with machs principle has been discussed. Axially symmetric string cosmological models with bulk viscosity in brans dicke 1961 and general relativity gr have been studied. In standard einstein theory the spacetime metric tensor, or. In the present work, we study the bransdicke theory in a dimensional reduction context. Spherically symmetrical cosmological models are examined in the presence of brans dicke theory of gravity with anisotropy dark energy. Mar 06, 2020 jordan and einstein frames are studied under the light of hamiltonian formalism. These p apers substantially duplicate much of the work of jordan. Pdf a geometrical approach to bransdicke theory researchgate.
A particular alternative is the bransdicke theory, which has been broadly studied as concerned to kessence type fields in 4d. The generalized bransdicke theory and its cosmology. From wikibooks, open books for an open world the cosmological constant in quantum cosmology. Pdf 269 k pdf plus 242 k axially symmetric holographic dark energy model with generalized chaplygin gas in bransdicke theory of gravitation. Oct 30, 2015 a stepbystep approach is followed to study cosmic structures in the context of bransdicke theory with positive cosmological constant. Proceedings of the fourth international meeting on gravitation and cosmology. However, this theory is almost unexplored in the context of the dimensional reduction in 3d. In this solution, the dynamical exponent z is determined in terms of the brans dicke parameter. Bransdicke theory article about bransdicke theory by the. Modern physicsbransdicke theory wikibooks, open books for. The weyl conformal transformation between the two frames results not to be a canonical.
We consider the problem of building inhomogeneous cosmological models in scalartensor theories of gravity. Dec 16, 2016 recently the most general completion of bransdicke theory has appeared with energy exchanged between the scalar field and ordinary matter, given that the equation of motion for the scalar field keeps the simple wave form of bransdicke. The field equations have been solved by using the anisotropy feature of the universe in the axially symmetric spacetime. Jordan bransdicke, theory based on the 1961 publications of brans and dicke. Moreover, bransdicke theory arises naturally as the low energy limit of many quantum gravity theories like superstring theory or kaluzaklein theory. In the framework of brans dicke theory, a cosmological model regarding the expanding universe has been formulated by considering an interconversion of matter and dark energy. A particular alternative is the brans dicke theory, which has been broadly studied as concerned to kessence type fields in 4d. This class of theories contain undetermined functions, but there exist only three. We assess the status of this model in light of the wmap7 data. Wed like to understand how you use our websites in order to improve them.
Inflation and dark energy from the bransdicke theory. Anisotropic dark energy cosmological models are constructed in the frame work of generalised bransdicke theory with a selfinteracting potential. Theoretical models of the bransdicke parameter for time. Spherically symmetrical cosmological model in brans dicke theory of gravitation with anisotropic dark energy. A string cosmological model in bransdicke theory of gravitation, astrophysics. The generalized bransdicke gbd theory is studied in this paper.
In a modern context bransdicke theory appears naturally from a email. It is well known that, in contrast to general relativity, there are two conformally related frames, the jordan frame and the einstein frame, in which the brans dicke theory, a prototype of generic scalartensor theory, can be formulated. There is a long standing debate on the physical equivalence of the formulations in these two different frames. It is a competitor of einsteins theory of general relativity. In theoretical physics, the brans dicke theory of gravitation sometimes called the jordan brans dicke theory is a theoretical framework to explain gravitation. Studying whether cosmic censorship holds in scalartensor theories may clarify the issue in gr. Asymptotic black hole quasinormal frequencies motl, lubos and neitzke, andrew, advances in theoretical and mathematical physics, 2003. Modern physicsbransdicke theory wikibooks, open books.
The theory respects machs principle and the weak equivalence principle. Using the minisuperspace approximation, we build up the wheelerde witt equation and then obtain the wave function of the universe by further assuming the wkb approximation under the boundary condition proposed by vilenkin. Eymhd theorylike bransdicke theoryconstitutes a theory of gravity in which the metric tensor has a scalar companion, in the case of eymhd, the dilaton. Bianchi types ii, viii, and ix string cosmological models in. Diracs constraint theory for hamiltonian systems is applied to brans dicke theory. This function is proportional to the matter content of the. We present an exact asymptotically lifshitz black hole solution in brans dicke theory of gravity in arbitrary n. The dependence of the dimensionless brans dicke bd coupling parameter upon time and the scalar field has been determined, for an isotropic and homogeneous space of zero curvature, by solving bd field equations and the wave equation for the scalar field. M in the standard einstein cosmology, another density parameter. It is then realized that the bd scalar field does indeed play the role of a k essence, but in a very unique way which distinguishes it from other k essence fields studied in the literature. Self creation cosmology an alternative gravitational theory. A function of time has been incorporated into the expression of the density of matter to account for the nonconservation of the matter content of the universe. Recently the most general completion of bransdicke theory was appeared with energy exchanged between the scalar field and ordinary matter, given that the equation of motion for the scalar field keeps the simple wave form of bransdicke. Solutions of the cosmological problem are obtained by using the conformal transformations relating gr and jbd theories of gravity.
So it is of little wonder that it is deprecated given the lack of unique observational support for bransdicke theory. It is an example of a scalartensor theory, a gravitational theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field. It is an example of a scalartensor theory, a gravitational theory in which the gravitational interaction is mediated by a scalar field as well as the tensor field of general relativity. Some important features of the models, thus obtained, have been discussed. It is considered by many astronomers to be the most serious alternative to general relativity. In the framework of bransdicke theory, a cosmological model regarding the expanding universe has been formulated by considering an interconversion of matter and dark energy. The theory can also be tested by the observational data coming from cmb and large scale structure 4548. Seshadri, mehta research institute of mathematics and mathematical physics, chhatnag road, jhusi, allahabad 211019, india abstract. As a result we have obtained an inflationary scalar potential with nonzero value of residual vacuum energy, which may be a. Cosmological constraints on bransdicke theory internet archive. Sep 09, 2015 the term brans dicke, apparently first introduced by dicke in his 1962 paper on transformation of units dicke 1962, is widely used to describe a modification of einsteins original formulation of general relativity to bring it into conformity with some form of machs principle. Newtons gravitational constant is not really constant, but is a dynamical field. In this work we study an alternative scheme for an emergent universe scenario in the context of a jordanbransdicke theory, where the. Modern physicsgravity wikibooks, open books for an open world.
In the present work, we study the brans dicke theory in a dimensional reduction context. Asymptotic lifshitz condition at infinity requires z 1, which corresponds to. Wave maps in gravitational theory narita, makoto, 2007. It is shown that the bransdicke scalar tensor theory of gravitation brings a negligible correction to the matter density component of the friedmann equation. A string cosmological model in bransdicke theory of gravitation, astrophysics and space science, vol. Unified dark fluid in bransdicke theory pdf paperity. Given that the simple wave equation of bransdicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the.
I have emphasized on the formalism of brans dicke theory and the need to introduce it. Jordanbransdicke, theory based on the 1961 publications of brans and dicke. A unified dark fluid characterised by a linear equation of state is considered as the source of dark energy. Given that the simple wave equation of bransdicke theory for the scalar field is preserved, we have investigated. New holographic dark energy model in bransdicke theory.
Bransdicke theory article about bransdicke theory by. That means that the gravitational mass of a body depends on all the matter in the rest of the universe. At present, both bransdicke theory and general relativity are generally held to be in agreement with observation. Cold neutron star model in brans dicke theory of gravity takuya matsuda. Pdf we consider an approach to bransdicke theory of gravity in which the scalar field is considered as a. Recently the most general completion of brans dicke theory was appeared with energy exchanged between the scalar field and ordinary matter, given that the equation of motion for the scalar field keeps the simple wave form of brans dicke.
The dependence of the dimensionless bransdicke bd coupling parameter upon time and the scalar field has been determined, for an isotropic and homogeneous space of zero curvature, by solving bd field equations and the wave equation for the scalar field. Emergent universe by tunneling in a jordanbransdicke theory. We study the issue of the cosmological constant in quantum cosmology combined with the brans dicke gravitational theory. On the action of the complete bransdicke theory springerlink. In the framework of brans dicke bd theory, the present study determines the time dependence of bd parameter, energy density and equation of state eos parameter of the cosmic fluid in a universe expanding with acceleration, preceded by a phase of deceleration. This class of theories contain undetermined functions, but there exist only three theories which are unambiguously determined from consistency. This class of theories contain undetermined functions, but there exist only three theories which are unambiguously determined from. For large values of the gravitational coupling, the solutions collapse to form. Bransdicke theory as a unified model for dark matterdark. Black holes in the bransdicke theory of gravitation. Time evolution of density parameters for matter and dark. The brans dicke bd theory of gravity is taken as a possible theory of kessence coupled to gravity.
Brans building upon, among others, the earlier 1959 work of pascual jordan. Axially symmetric bulk viscous string cosmological models in. It is then realized that the bd scalar field does indeed play the role of a kessence, but in a very unique way which distinguishes it from other kessence fields studied in the literature. Since the bransdicke theory has proved to be a better alternative to. The gbd theory is obtained by generalizing the ricci scalar r to an arbitrary function f r in the original bransdicke bd action. It is found that only three theories exist which are unambiguously determined from consistency, without imposing arbitrary functions by hand. In this scenario we analyze the quantum fluctuations corresponding to adiabatic and isocurvature modes.