Browsing by Author "Yilmaz, Nejat T."

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Citation - WoS: 2
Braneworld gravity in a symmetric space bulk
(IOP PUBLISHING LTD, 2010) Nejat T. Yilmaz; Yilmaz, Nejat T.
By considering the p-brane motion in a G/K symmetric space bulk we identify the G-invariant bulk metric in the solvable Lie algebra gauge of the brane action. After calculating the Levi-Civita connection of this bulk metric we use it in the Gauss equation to compute the braneworld curvature in terms of the bulk coordinates. Finally by making use of the Gauss equation in the braneworld Einstein equation we present a geometrical method of implementing the first fundamental form in the gravitating brane dynamics for the specially chosen symmetric space bulk case leading to an Einstein equation expressed solely in terms of the bulk coordinates of the braneworld.
Integrated Lax formalism for principal chiral model
(Amer Inst Physics, 2010) Nejat Tevfik Yilmaz; Yilmaz, Nejat T.
By solving the first-order algebraic field equations which arise in the dual formulation of the D=2 principal chiral model (PCM) we construct an integrated Lax formalism built explicitly on the dual fields of the model rather than the currents. The Lagrangian of the dual scalar field theory is also constructed. Furthermore we present the first-order partial differential equation (PDE) system for an exponential parametrization of the solutions and discuss the integrability of this system. © 2010 American Institute of Physics. © 2010 Elsevier B.V. All rights reserved.
Citation - WoS: 2
Citation - Scopus: 4
Supergravity-induced interactions on thick branes
(Institute of Physics Publishing custserv@iop.org, 2014) Nejat Tevfik Yilmaz; Yilmaz, Nejat T.
The gravity coupling of the symmetric space sigma model is studied in the solvable Lie algebra parametrization. The corresponding Einstein equations are derived and the energy-momentum tensor is calculated. The results are used to derive the dynamical equations of the warped five-dimensional (5D) geometry for localized bulk scalar interactions in the framework of thick brane world models. The Einstein and scalar field equations are derived for flat brane geometry in the context of minimal and non-minimal gravity-bulk scalar couplings. © 2014 Chinese Physical Society and IOP Publishing Ltd. © 2014 Elsevier B.V. All rights reserved.