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19942008
most citedDirac Equation in the Background of the Nutku Helicoid Metric

19 citations · 28 across the 3 of their papers we have counts for

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6 papers · 1 filter

gr-qc20083 cited

2+1 dimensional solution of Einstein Cartan equations

M. Hortacsu, H. T. Ozcelik, N. Ozdemir

In this work a static solution of Einstein-Cartan (EC) equations in 2+1 dimensional space-time is given by considering classical spin-1/2 field as external source for torsion of th…

gr-qc20076 cited

Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution

T. Birkandan, M. Hortacsu

Dirac equation written on the boundary of the Nutku helicoid space consists of a system of ordinary differential equations. We tried to analyze this system and we found that it has…

gr-qc200719 cited

Dirac Equation in the Background of the Nutku Helicoid Metric

T. Birkandan, M. Hortacsu

We study the solutions of the Dirac equation in the background of the Nutku helicoid metric. This metric has curvature singularities, which necessitates imposing a boundary to excl…

gr-qc200635 cited

Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

T. Birkandan, M. Hortacsu

We give examples where the Heun function exists in general relativity. It turns out that while a wave equation written in the background of certain metric yields Mathieu functions…

gr-qc1996

An Extension of Multiple Cosmic String Solution: A Proposal

M. Hortacsu, N. Ozdemir

We extend the work done for cosmic strings and show that for a more general class of locally flat metrics the one loop calculation do not introduce any new divergences to the VEV o…

gr-qc1994

Do Cosmic Strings Give Rise to Vacuum Fluctuations ?

A. H. Bilge, M. Hortacsu, N. Ozdemir

The role of the identification of the vacuum and non-vacuum space-times in the computation of vacuum fluctuations in the presence of a cosmic string is discussed and an alternative…