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Yayın (2+1)-dimensional dynamical black holes in Einstein-nonlinear Maxwell theory(WORLD SCIENTIFIC PUBL CO PTE LTD, 2018) Gurtug, O.; Mazharimousavi, S. Habib; Halilsoy, M.Radiative extensions of BTZ metric in 2 + 1 dimensions are found which are sourced by nonlinear Maxwell fields and a null current. This may be considered as generalization of the problem formulated long go by Vaidya and Bonnor. The mass and charge are functions of retarded/advanced null coordinate apt for decay/inflation. The new solutions are constructed through a Theorem that works remarkably well for any nonlinear electrodynamic model. Hawking temperature is analyzed for the case of the Born-Infeld electrodynamics.Yayın 2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory(APS Physics, 2010) Gürtuğ, Özay; Mazharimousavi, S. Habib; Halilsoy, Mustafa; Gürtuğ, ÖzayA large family of new black hole solutions in 2 + 1 -dimensional Einstein-power-Maxwell gravity with prescribed physical properties is derived. We show with particular examples that according to the power parameter k of the Maxwell field, the obtained solutions may be asymptotically flat for 1 / 2 < k < 1 or nonflat for k > 1 in the vanishing cosmological constant limit. We study the thermodynamic properties of the solution with two different models, and it is shown that thermodynamic quantities satisfy the first law. The behavior of the heat capacity indicates that by employing the 1 + 1 -dimensional dilaton analogy the local thermodynamic stability is satisfied.Yayın Classical and quantum analysis of an Einstein-Scalar solution in 2+1 dimensions(SPRINGER HEIDELBERG, 2017) Gurtug, O.; Mazharimousavi, S. Habib; Halilsoy, M.The classical and quantum properties of a new solution obtained in (2+1)-dimensional gravity coupled with a real scalar field is analyzed in detail. The considered new solution is a one-parameter generalization of a previously known solution. We investigate the solution classically by calculating exact null and null circular geodesics which correspond to a typical particle probe of the correspondsing black hole spacetime. The solution admitting naked singularity is investigated within the context of quantum mechanics. The timelike naked singularity is probed with spin-zero and spin-half quantum particles. We show that the curvature singularity in the new solution is stronger and hence in general the spacetime remains quantum singular with respect to a quantum particle probe.Yayın Generating static spherically symmetric black-holes in lovelock gravity(WorldScientific, 2009) Mazharimousavi, S. Habib; Gürtuğ, Özay; Halilsoy, Mustafa; Gürtuğ, ÖzayGeneralization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented. Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension N yield all the solutions known to date with an energy-momentum. In our generalization, with special emphasis on the third order Lovelock gravity, we have found two different class of solutions characterized by the matter field parameter. Several particular cases are studied and properties related to asymptotic behaviours are discussed. Our general solution which covers topological black holes as well, splits naturally into distinct classes such as Chern-Simon (CS) and Born-Infeld (BI) in higher dimensions. The occurence of naked singularities are studied and it is found that, the spacetime behaves nonsingular in quantum mechanical sense when it is probed with quantum test particles. The theorem is extended to cover Bertotti-Robinson (BR) type solutions in the presence of the GB parameter alone. Finally we prove also that extension of the theorem for a scalar-tensor source of higher dimensions (N > 4) fails to work.Yayın A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions(Springerlink, 2013) Mazharimousavi, S. Habib; Halilsoy, Mustafa; Gürtuğ, Özay; Gürtuğ, ÖzayWe introduce a class of solutions in 2 + 1?dimensional Einstein-Power-Maxwell theory for circularly symmetric electric field. The electromagnetic field is considered with an angular component given by Fµ? = E0? t µ? ? ? for E0 = constant. First, we show that the metric for zero cosmological constant and the Power-Maxwell Lagrangian of the form of p |Fµ?F µ?|, coincides with the solution given in 2 + 1?dimensional gravity coupled with a massless, self interacting real scalar field. With the same Lagrangian and a non-zero cosmological constant we obtain a non-asymptotically flat wormhole solution in 2 + 1?dimensions. The confining motions of massive charged and chargeless particles are investigated too. Secondly, another interesting solution is given for zero cosmological constant together with conformal invariant condition. The formation of timelike naked singularity for this particular case is investigated within the framework of the quantum mechanics. Quantum fields obeying the Klein-Gordon and Dirac equations are used to probe the singularity and test the quantum mechanical status of the singularity.Yayın Quantum probes of timelike naked singularities in the weak eld regime of f(R) global monopole spacetime(Springerlink, 2014) Gürtuğ, Özay; Halilsoy, Mustafa; Mazharimousavi, S. Habib; Gürtuğ, ÖzayThe formation of a naked singularity in f(R) global monopole spacetime is considered in view of quantum mechanics. Quantum test elds obeying the Klein-Gordon, Dirac and Maxwell equations are used to probe the classical timelike naked singularity developed at r = 0. We prove that the spatial derivative operator of the elds fails to be essentially self-adjoint. As a result, the classical timelike naked singularity formed in f(R) global monopole spacetime remains quantum mechanically singular when it is probed with quantum elds having di erent spin structures. Pitelli and Letelier (Phys. Rev. D 80, 104035, 2009) had shown that for quantum scalar (spin 0) probes the general relativistic global monopole singularity remains intact. For speci c modes electromagnetic (spin 1) and Dirac eld (spin 1=2) probes, however, we show that the global monopole spacetime behaves quantum mechanically regular. The admissibility of this singularity is also incorporated within the Gubser's singularity conjecture.Yayın Rindler modified schwarzschild geodesics(Springerlink, 2013) Halilsoy, Mustafa; Gürtuğ, Özay; Mazharimousavi, S. Habib; Gürtuğ, ÖzayThe mysterious attractive constant radial force acted in the past on Pioneer spacecrafts - the so-called Pioneer anomaly - is considered within the context of Rindler acceleration. As an idea this is tempting since it is reminiscent of the cosmological constant. Fortunately the anomalous force acts radially toward the sun so that it differs from the mission of a cosmological constant. Without resorting to the physical source responsible for such a term we investigate the modified Schwarzschild geodesics. The Rindler acceleration naturally affects all massive / massless particle orbits. Stable orbits may turn unstable and vice versa with a finely-tuned acceleration parameter. The overall role of the extra term, given its attractive feature is to provide confinement in the radial geodesics.Yayın Thin-shell wormhole in f(R) gravity(Maltepe Üniversitesi, 2019) Mazharimousavi, S. HabibWe present thin-shell wormhole in f (R) = R + R0 + 2? ? R + R1 gravity coupled with a model of nonlinear electrodynamics Lagrangian. We also study the dynamic stability and some physical properties of the thin-shell wormhole.