Fractal equilibrium configuration of a mechanically loaded binary tree

2021 ◽  
Vol 152 ◽  
pp. 111415
Author(s):  
Javier Rodríguez-Cuadrado ◽  
Jesús San Martín
Keyword(s):  
Binary Tree ◽  
Equilibrium Configuration

Seamless terrain rendering method based on binary tree and GPU

2013 ◽  
Vol 32 (9) ◽  
pp. 2548-2552
Author(s):  
Wei CAO ◽  
Guang-yao DUAN
Keyword(s):  
Binary Tree ◽  
Terrain Rendering

The Schwarzschild black hole

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Black Hole ◽  
Gravitational Field ◽  
Equilibrium Configuration ◽  
Original Form ◽  
Schwarzschild Black Hole ◽  
Schwarzschild Metric ◽  
Schwarzschild Geometry

This chapter discusses the Schwarzschild black hole. It demonstrates how, by a judicious change of coordinates, it is possible to eliminate the singularity of the Schwarzschild metric and reveal a spacetime that is much larger, like that of a black hole. At the end of its thermonuclear evolution, a star collapses and, if it is sufficiently massive, does not become stabilized in a new equilibrium configuration. The Schwarzschild geometry must therefore represent the gravitational field of such an object up to r = 0. This being said, the Schwarzschild metric in its original form is singular, not only at r = 0 where the curvature diverges, but also at r = 2m, a surface which is crossed by geodesics.

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