scholarly journals All the three dimensional Lorentzian metrics admitting three Killing vectors

2020 ◽  
Vol 37 (8) ◽  
pp. 085005
Author(s):  
Masato Nozawa ◽  
Kentaro Tomoda
Keyword(s):  
Three Dimensional ◽  
Killing Vectors ◽  
Lorentzian Metrics

Three Dimensional Charged Interior Solutions Admitting Conformal Killing Vectors

2015 ◽  
Vol 55 (1) ◽  
pp. 505-516 ◽  
Author(s):  
Arkopriya Mallick ◽  
Indrani Karar ◽  
Farook Rahaman ◽  
Ritabrata Biswas
Keyword(s):  
Three Dimensional ◽  
Conformal Killing ◽  
Killing Vectors ◽  
Conformal Killing Vectors ◽  
Interior Solutions

Certain homogeneous paracontact three-dimensional Lorentzian metrics

2017 ◽  
Vol 11 (01) ◽  
pp. 1850006
Author(s):  
Ali Haji-Badali ◽  
Elham Sourchi
Keyword(s):  
Vector Field ◽  
Three Dimensional ◽  
Einstein Manifolds ◽  
Reeb Vector ◽  
Reeb Vector Field ◽  
Lorentzian Metrics

In this paper, we study three-dimensional homogeneous paracontact metric manifolds for which the Reeb vector field of the underlying paracontact structure satisfies a nullity condition. We give example of paraSasakian and non-paraSasakian [Formula: see text]-manifolds. Finally, we exhibit explicit example of [Formula: see text]-Einstein manifolds.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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