Browsing 08 Faculty of Arts and Sciences by Issue Date

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Browsing 08 Faculty of Arts and Sciences by Issue Date

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  • Halilsoy, Mustafa (Journal of Mathematical Physics, American Institute of Physics (AIP), 1988)
    Some properties of the space-times admitting two spacelike Killing vectors are studied. In particular, using harmonic maps the degree of freedom on the M' manifold is exploited to add scalar and electromagnetic fields ...
  • Halilsoy, Mustafa (Physical Review D, American Physical Society (APS), 1989)
    We reformulate the initial data on the characteristic surface for colliding waves in the Einstein- Maxwell theory. This approach takes into account the superposition principle for gravitational and electromagnetic waves. ...
  • Mustafa, Omar; Sever, Ramazan (American Physical Society (APS), 1990)
    The shifted 1/N expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical ...
  • Mustafa, Halilsoy (Physics Letters A, Elsevier, 1990)
    We show that the massive wave equation is separable in two different space—times, both arising from the collision of the cross polarized plane gravitational waves. Exact solutions can be expressed in terms of infinite series.
  • Mustafa, Halilsoy (Physical Review -Series d-, American Physical Society (APS), 1990)
    We formulate the initial-value problem for two colliding trains of impulsive gravitational waves. In the absence of a global, exact solution we show that in a region lying between the singularity u'+ U'= 1 and the wave ...
  • Mustafa, Halilsoy; M. R., Arafah; S., Fakioglu (Physical Review D, American Physical Society (APS), 1990)
    We obtain the exact behavior of the cross-polarized cylindrical Einstein-Maxwell waves that generalizes the well-known Einstein-Rosen waves. In the presence of the second mode of polarization the outgoing waves interact ...
  • Mustafa, Omar; Sever, Ramazan (American Physical Society (APS), 1991)
    A different approach to the shifted 1/N expansion technique is developed to deal with the Klein-Cxordon particle trapped in a spherically symmetric potential. Properly modifying the definition of the perturbative expansion ...
  • Mustafa, Halilsoy (Journal of Mathematical Physics, American Institute of Physics (AIP), 1992)
    The quaternionic version of the Ernst formalism is used to propose an alternative generalization of the Zipoy-Voorhees metric that represents spinning spheroids. Rotating discs and their superposition that generalize the ...
  • Eser, Aydıroğlu; Mustafa, Halilsoy (Physics Letters A, Elsevier, 1992)
    We consider an extended version of Takatsuji’s laser beam — in analogy with null geodesics in the space—time of interacting waves— which focuses itself in a non-linear medium. It is shown that weak“rotational” effects ...
  • Mustafa, Omar (Institute of Physics (IOP) Publishing, 1993)
    The shifted-1/N-expansion method has been used to study the energy levels for a 2D donor impurity in the presence of an arbitrary magnetic field. Exact analytical expressions for the energy levels at zero- and high-field ...
  • Halilsoy, Mustafa (Journal of Mathematical Physics, American Isntitute of Physics (AIP), 1993)
    As a supplementary to the general class of solutions published in this journal [J. Math. Phys. 31, 2694 (1990)] we remark that for a specific choice of our seed function we obtain an interesting solution which reduces ...
  • Mustafa, Halilsoy (General Relativity and Gravitation, Springer, 1993)
    By considering an uncharged mass embedded in an external electromagnetic field we show that the Einstein corrections to the Newtonian results may further be modified
  • Halilsoy, Mustafa (General Relativity and Gravitation, Springer, 1993)
    The two well-known solutions of general relativity, the Schwarzschild and the Bertotti-Robinson solutions, are shown to be described by a common metric. In a particular coordinate system we show the connection between ...
  • Mustafa, Halilsoy; M., El-Said (General Relativity and Gravitation, Springer, 1993)
    We construct a nondiagonalizable solution of the stationary axially symmetric vacuum Einstein equations involving Painleve transcendents III(V). From the asymptotic behaviour of this solution we identify the corresponding ...
  • Mazhar, Zeka; Daoud, D.S; Subaşı, Deniz (Elsevier B.V, 1994)
    The Preconditioned Conjugate Gradient (PCG) method is implemented to solve the system with 9 diagonal entries generated from a 9-point finite difference approximation of the self-adjoint elliptic partial differential ...
  • Halilsoy, Mustafa; Gürtuğ, Özay (Nuovo Cimento B, Springer, 1994)
    We present the NUT generalization of the Curzon metric with its multipole extension. The Schwarzschild quadrupole potential in the prolate spheroidal coordinates turns out to cancel the quadrupole moment of a ...
  • Halilsoy, Mustafa (General Relativity and Gravitation, Springer, 1994)
    We show that the massive wave equation is separable in two particular colliding Einstein-Maxwell waves space-times. The first is the type D metric of Chandrasekhar and Xanthopoulos whereas the second is the doubly ...
  • Halilsoy, Mustafa; Al-Badawi, A (Classical and Quantum Gravity, Institute of Physics (IOP) Publishing, 1995)
    We present the metric of a Schwarzschild (S) black hole coupled to an external, stationary electromagnetic Bertotti–Robinson (BR) solution. This metric generalizes a previous metric that served to unify the S and BR ...
  • Bracher, Christian; Rıza, Mustafa; Kleber, Markus (American Physical Soc, 1997)
    We develop a quantum mechanical scattering theory for electrons which tunnel out of (or into) the tip of a scanning tunneling microscope. The method is based on propagators (or Green functions) for quasistationary scattering ...
  • Halilsoy, Mustafa (Classical and Quantum Gravity, Institution of Physics (IOP) Publishing, 1997)
    Sandwich waves in the Einstein–Maxwell theory are expressed globally by introducing step functions at the boundaries. We show that a test particle crossing such a wave zone extracts energy from the sandwich wave.