Lagrangian formalism for a system ofN classical particles in general relativity

1976 ◽  
Vol 33 (2) ◽  
pp. 519-529 ◽  
Author(s):  
D. D. Dionysiou
Keyword(s):  
General Relativity ◽  
Lagrangian Formalism ◽  
Classical Particles

scholarly journals Lagrangian formulation of Newtonian cosmology

2014 ◽  
Vol 36 (3) ◽  
Author(s):  
H.S. Vieira ◽  
V.B. Bezerra
Keyword(s):  
General Relativity ◽  
Differential Equations ◽  
Classical Mechanics ◽  
Lagrangian Formulation ◽  
Einstein Equations ◽  
Lagrangian Formalism ◽  
Newtonian Cosmology

In this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from the theory of general relativity. This method can be used to a universe constituted of incoherent matter, that is, the cosmologic substratum is comprised of dust.

scholarly journals On the Entanglement Entropy of Spacetime and Matter Based on the Action in General Relativity

2019 ◽  
Author(s):  
Hongwei Xiong ◽  
Shujuan Liu
Keyword(s):  
General Relativity ◽  
Gravitational Force ◽  
Entanglement Entropy ◽  
Fundamental Property ◽  
Action Principle ◽  
Classical Particles ◽  
The Relationship ◽  
Einstein’S General Relativity

We consider the conjecture of the relationship between the entanglement entropy of spacetime, matter and the action in Einstein's general relativity. Our analysis suggests the possibility of regarding the entanglement entropy of spacetime and matter as the dimensionless action in general relativity by using Planck units. In this case, the action principle originates from the maximization of the entanglement entropy. We also show that the fundamental property of entanglement entropy leads to attractive characteristic of gravitational force for classical particles.

General Relativity

2006 ◽  
Author(s):  
M. P. Hobson ◽  
G. P. Efstathiou ◽  
A. N. Lasenby
Keyword(s):  
General Relativity
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