scholarly journals Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories

2001 ◽  
Vol 65 (2) ◽  
Author(s):  
Shinji Mukohyama
Keyword(s):  
General Relativity ◽  
Action Principle ◽  
Covariant Action

An action principle in general relativity

1962 ◽  
Vol 26 (4) ◽  
pp. 637-651
Author(s):  
G. L. Clark
Keyword(s):  
General Relativity ◽  
Action Principle

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.

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