Browsing by Author "Mustafa, Halilsoy"

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Browsing by Author "Mustafa, Halilsoy"

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  • Yavuz, Nutku; Mustafa, Halilsoy (Physical Review Letters, American Physical Society (APS), 1977)
    We formulate the problem of colliding plane gravitational waves with two polarizations as the harmonic mappings of Riemannian manifolds and construct an exact solution of the vacuum Einstein field equations describing ...
  • 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 (Physics Letters, 1981)
    It is shown that a theorem proved on colliding plane gravitational waves is not correct.
  • 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
  • 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, 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 ...
  • Mustafa, Halilsoy; Ali, Övgün (Hindawi, 2017-01-16)
    The unbounded center-of-mass (CM) energy of oppositely moving colliding particles near horizon emerges also in 1+1 -dimensional Horava-Lifshitz gravity. This theory has imprints of renormalizable quantum gravity characteristics ...
  • 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 ...
  • 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, 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.