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DELİCE, ÖZGÜR

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DELİCE

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ÖZGÜR

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Now showing 1 - 9 of 9
  • Publication
    On generalized Einstein-Rosen waves in Brans-Dicke theory
    (SPRINGER HEIDELBERG, 2014) DELİCE, ÖZGÜR; Akyar, Lokman; Delice, Ozgur
    In this paper cylindrically symmetric vacuum solutions corresponding to generalized Einstein-Rosen-type gravitational waves are considered in the framework of Brans-Dicke (BD) scalar-tensor theory. We see that, similar to axially symmetric vacuum solutions, under some assumptions, it is possible to generate BD-vacuum solutions from corresponding solutions in general relativity. Using this generating technique, we present several exact solutions corresponding to soliton, standing or pulse waves in BD theory. We also present a Kasner-type time-dependent generalization of cylindrically symmetric static vacuum solution. Some physical implications of these solutions are discussed in some detail. The effect of pulse type waves on test particle motion is briefly discussed and compared with static vacuum background. We also see that, similar to general relativity, there are no trapped cylinders in Einstein-Rosen-type solutions in BD theory.
  • Publication
    Static Weyl Type Solutions of The Brans-Dicke Theory
    (AMER INST PHYSICS, 2016) DELİCE, ÖZGÜR; Kirezli, Pinar; Delice, Ozgur; Akkus, B; Oktem, Y; Yalcin, LS; Mutlu, RBC; Dogan, GS
    Static, axially symmetric Weyl type solutions and their properties are studied in the Brans-Dicke (BD) theory. The new solutions are obtained for the general Weyl solutions, two particle Chazy-Curzon solution and Bertotti-Robinson type solution. Some physical properties such as the geodesic motion and singularities of these solutions are also discussed in detail.
  • PublicationOpen Access
    Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
    (IOP PUBLISHING LTD, 2018-03-22) DELİCE, ÖZGÜR; Ozer, Hatice; Delice, Ozgur
    Two different ways of generalizing Einstein's general theory of relativity with a cosmological constant to Brans-Dicke type scalar-tensor theories are investigated in the linearized field approximation. In the first case a cosmological constant term is coupled to a scalar field linearly whereas in the second case an arbitrary potential plays the role of a variable cosmological term. We see that the former configuration leads to a massless scalar field whereas the latter leads to a massive scalar field. General solutions of these linearized field equations for both cases are obtained corresponding to a static point mass. Geodesics of these solutions are also presented and solar system effects such as the advance of the perihelion, deflection of light rays and gravitational redshift were discussed. In general relativity a cosmological constant has no role in these phenomena. We see that for the Brans-Dicke theory, the cosmological constant also has no effect on these phenomena. This is because solar system observations require very large values of the Brans-Dicke parameter and the correction terms to these phenomena becomes identical to GR for these large values of this parameter. This result is also observed for the theory with arbitrary potential if the mass of the scalar field is very light. For a very heavy scalar field, however, there is no such limit on the value of this parameter and there are ranges of this parameter where these contributions may become relevant in these scales. Galactic and intergalactic dynamics is also discussed for these theories at the latter part of the paper with similar conclusions.
  • PublicationOpen Access
    Generalized Sparling-Thirring form in the Brans-Dicke theory
    (SPRINGER, 2015-02) DELİCE, ÖZGÜR; Baykal, Ahmet; Delice, Ozgur
    The definition of the Sparling-Thirring form is extended to Brans-Dicke theory. By writing the Brans-Dicke field equations in a formally Maxwell-like form, a superpotential and a corresponding pseudo-energy-momentum form are defined. The general energy expression provided by the superpotential in the Jordan frame is discussed in relation to the corresponding expression in the Einstein frame. In order to substantiate its formal definition, the generalized Sparling-Thirring form is used to calculate the energy for the spherically symmetric vacuum solution in Brans-Dicke theory.
  • PublicationOpen Access
    Higher dimensional cylindrical or Kasner type electrovacuum solutions
    (SPRINGER/PLENUM PUBLISHERS, 2013-11) DELİCE, ÖZGÜR; Delice, Ozgur; Kirezli, Pinar; Ciftci, Dilek K.
    We consider a dimensional Kasner type diagonal spacetime where metric functions depend only on a single coordinate and electromagnetic field shares the symmetries of spacetime. These solutions can describe static cylindrical or cosmological Einstein-Maxwell vacuum spacetimes. We mainly focus on electrovacuum solutions and four different types of solutions are obtained in which one of them has no four dimensional counterpart. We also consider the properties of the general solution corresponding to the exterior field of a charged line mass and discuss its several properties. Although it resembles the same form with four dimensional one, there is a difference on the range of the solutions for fixed signs of the parameters. General magnetic field vacuum solution are also briefly discussed, which reduces to Bonnor-Melvin magnetic universe for a special choice of the parameters. The Kasner forms of the general solution are also presented for the cylindrical or cosmological cases.
  • PublicationOpen Access
    Brans-Dicke-Maxwell solutions for higher dimensional static cylindrical symmetric spacetime
    (AMER INST PHYSICS, 2015-07) DELİCE, ÖZGÜR; Ciftci, Dilek K.; Delice, Ozgur
    In this paper, Brans-Dicke-Maxwell type vacuum solutions are considered for a static cylindrically symmetric spacetime in arbitrary dimensions. Exact solutions are obtained by directly solving the field equations for the case where an azimuthal magnetic field is present. Other configurations such as axial magnetic field case can be obtained by suitably relabeling the coordinates. We have also considered conformally related Einstein frame to relate the solutions we have obtained with the dilaton-Maxwell type solutions that exist in the literature. We see that for a special case the general solution we present reduces to dilaton-Melvin spacetime. The general relativistic limit of these solutions is also discussed and we found that this limit is different from the four dimensional case. (C) 2015 AIP Publishing LLC.
  • PublicationOpen Access
    A unified approach to variational derivatives of modified gravitational actions
    (IOP PUBLISHING LTD, 2011-01-07) DELİCE, ÖZGÜR; Baykal, Ahmet; Delice, OZgur
    Our main aim in this paper is to promote the coframe variational method as a unified approach to derive field equations for any given gravitational action containing the algebraic functions of the scalars constructed from the Riemann curvature tensor and its contractions. We are able to derive a master equation which expresses the variational derivatives of the generalized gravitational actions in terms of the variational derivatives of its constituent curvature scalars. Using the Lagrange multiplier method relative to an orthonormal coframe, we investigate the variational procedures for modified gravitational Lagrangian densities in spacetime dimensions n >= 3. We study the well-known gravitational actions such as those involving the Gauss-Bonnet and Ricci-squared, Kretchmann scalar, Weyl-squared terms and their algebraic generalizations similar to generic f(R) theories and the algebraic generalization of sixth order gravitational Lagrangians. We put forth a new model involving the gravitational Chern-Simons term and also give three-dimensional new massive gravity equations in a new form in terms of the Cotton 2-form.
  • Publication
    Some Properties of Magnetized Bonnor-Dihole Solution in Brans-Dicke Theory
    (AMER INST PHYSICS, 2017) DELİCE, ÖZGÜR; Kirezli, Pinar; Delice, Ozgur; Akkus, B; Oktem, Y; Dogan, GS; Guzelcimen, F
    Soule properties of magnetized Bonnor-dihole solution in Brans Dicke(BD) theory is discussed. Conical deficit angle and equatiorial geodesics of (jawlike and null particles are investigated in detail for different values of the parameters of the BD solution.
  • PublicationOpen Access
    Modified Einstein-Gauss-Bonnet gravity: Riemann-Cartan and pseudo-Riemannian cases
    (SPRINGER HEIDELBERG, 2016-08) DELİCE, ÖZGÜR; Ozer, Hatice; Baykal, Ahmet; Delice, Ozgur
    A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the constrained first-order formalism covering both pseudo-Riemannian and non-Riemannian cases. In the pseudo-Riemannian case, the Lagrange multiplier forms, which impose the vanishing torsion constraint, are eliminated in favor of the remaining fields and the resulting metric field equations are expressed in terms of the double dual curvature 2-form. In the non-Riemannian case with torsion, the field equations are expressed in terms of the pseudo-Riemannian quantities by a perturbative scheme valid for a weak coupling constant. It is shown that, for both cases, the model admits a maximally symmetric de Sitter solution with non-trivial scalar field. Minimal coupling of a Dirac spinor to the Gauss-Bonnet modified gravity is also discussed briefly.