v. dannon showed that spherical curves in e4 can be given by frenet-like equations, and he thengave an integral characterization for spherical curves in e4 . in this paper, lorentzian spherical timelike andspacelike curves in the space time 41 r are shown to be given by frenet-like equations of timelike andspacelike curves in the euclidean space e3 and the minkowski 3-space 31 r . thus, finding...

In this paper, we explore the possibility that closed timelike curves might be allowed by the laws of physics. A closed timelike curve is perhaps the closest thing to time travel that general relativity allows. We will begin our discussing just what closed timelike curves are, and in what kinds of contexts they were first shown to appear. We then explore how one might actually travel on a close...

Some results related to the causality of compact Lorentzian manifolds are proven: (1) any compact Lorentzian manifold which admits a timelike conformal vector field is totally vicious, and (2) a compact Lorentzian manifold covered regularly by a globally hyperbolic spacetime admits a timelike closed geodesic, if some natural topological assumptions (fulfilled, for example, if one of the conjuga...

The motion of the relativistic particle with torsion have some geometric models Minkowski and Euclidean spaces. In this paper, we derived solutions for motion of the relativistic particle with torsion. We found solutions of the equations of motion of the relativistic particle with torsion for a timelike curve on a timelike surface in the Minkowski space E1.

We study the tachyon supertube probes on a type IIA supergravity background which behaves as a stringy Gödel spacetime and contains closed timelike curve. In the case of small value of f , which is a parameter of the background, we use the Minahan-Zwiebach tachyon action to obtain a single regular tube solution and argue that the tube is a BPS D2-brane. However, we find that the fluctuation aro...

It is shown that, on a manifold with a Finsler metric of Lorentzian signature, the lightlike geodesics satisfy the following variational principle. Among all lightlike curves from a point q (emission event) to a timelike curve γ (worldline of receiver), the lightlike geodesics make the arrival time stationary. Here “arrival time” refers to a parametrization of the timelike curve γ. This variati...

A curve which is called geodesic on a surface M in Lorentz 3-space is a special curve that its acceleration is everywhere normal to M. In this paper, we analyzed the non-linear differential equation to determine the geodesic curves on ruled surfaces which is obtained by a strictly connected spacelike straight line moving with Frenet’s frame along a timelike curve in . When we assume that curvat...

In this paper, using [E. Kasap, _ I. Aydemir, N. Kuruoğlu, Erratum to: ‘‘Ruled surfaces with timelike rulings’’ [Appl. Math. Comput. 147 (2004) 241–253], Applied Mathematics and Computation 168 (2005) 1461–1468 [2]], some mistakes which are related to the classification maximal ruled surfaces with timelike rulings in the last section of [Applied Mathematics and Computation 147 (2004) 241–253 [1...

This paper concentrates on the requirements of being an integral curve for geodesic spray natural lift curves spherical indicatrices timelike-spacelike involute-evolute pair in Lorentz 3-space. In addition, obtained results were supported by one example.