scholarly journals Motion of a gyroscope on a closed timelike curve

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Brien C. Nolan
Keyword(s):  
Timelike Curve ◽  
Closed Timelike Curve

scholarly journals Quantum-state cloning in the presence of a closed timelike curve

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
D. Ahn ◽  
C. R. Myers ◽  
T. C. Ralph ◽  
R. B. Mann
Keyword(s):  
Quantum State ◽  
Timelike Curve ◽  
Closed Timelike Curve

scholarly journals Purification of mixed states with closed timelike curve is not possible

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
Arun K. Pati ◽  
Indranil Chakrabarty ◽  
Pankaj Agrawal
Keyword(s):  
Timelike Curve ◽  
Mixed States ◽  
Closed Timelike Curve

scholarly journals N-BISHOP DARBOUX VECTOR OF A TIMELIKE CURVE IN MINKOWSKI 3-SPACE

2020 ◽  
Vol 20 (3) ◽  
pp. 519-528
Author(s):  
HATICE KUSAK SAMANCI
Keyword(s):  
Differential Geometry ◽  
Minkowski Space ◽  
Timelike Curve ◽  
Rotation Vector ◽  
Effective Alternative ◽  
Darboux Vector ◽  
Bishop Frame ◽  
Alternative Approach ◽  
Darboux Frame ◽  
First Time

It is known that a Bishop frame of a curve is one of the effective alternative approach in the differential geometry. Recently, several important works have been done about the Bishop frames. The aim of our paper is to investigate the N-Bishop frame for timelike curves in Minkowski space. We define the N-Bishop frame for the timelike curve in Minkowski space. Then, we consider some properties of the frame. Moreover, we describe the N-Bishop Darboux frame for the first time. Additionally, we compute some geometrical characterizations for the N-Bishop Darboux axis and momentum rotation vector.

scholarly journals Differential representation of the Lorentzian spherical timelike curves by using bishop frame

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 2037-2043
Author(s):  
Okullu Balki ◽  
Huseyin Kocayigit
Keyword(s):  
Differential Equation ◽  
Linear Differential Equation ◽  
Timelike Curve ◽  
Position Vector ◽  
Order Linear Differential Equation ◽  
Third Order ◽  
Order Linear ◽  
Bishop Frame ◽  
Lorentzian Sphere ◽  
Linear Differential

In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere.

scholarly journals Some characterizations of a timelike curve in $R^3_1$

2016 ◽  
Vol 4 (3) ◽  
pp. 270-270
Author(s):  
Muslum Aykut Akgun ◽  
Ali Ihsan Sivridag
Keyword(s):  
Timelike Curve
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