scholarly journals The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field

2016 ◽  
Vol 354 (9) ◽  
pp. 948-953 ◽  
Author(s):  
Philippe G. LeFloch ◽  
Yue Ma
Keyword(s):  
Minkowski Space ◽  
Nonlinear Stability ◽  
Einstein Equations ◽  
Massive Field

scholarly journals ACTIONS, CHARGES AND OFF-SHELL FIELDS IN THE UNFOLDED DYNAMICS APPROACH

2006 ◽  
Vol 03 (01) ◽  
pp. 37-80 ◽  
Author(s):  
M. A. VASILIEV
Keyword(s):  
Dynamical System ◽  
Closed Form ◽  
Minkowski Space ◽  
Star Product ◽  
Einstein Equations ◽  
Yang Mills ◽  
Conserved Charges ◽  
Zero Curvature ◽  
Product Algebra

Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the L∞ algebra underlying the unfolded formulation of a given dynamical system. The unfolded off-shell constraints for symmetric fields of all spins in Minkowski space are shown to have the form of zero curvature and covariant constancy conditions for 1-forms and 0-forms taking values in an appropriate star product algebra. Unfolded formulation of Yang–Mills and Einstein equations is presented in a closed form.

Einstein equations for a Finsler-Larange space with canonical N-linear connections

2020 ◽  
Vol 4 (1) ◽  
pp. 240-247
Author(s):  
Roopa M. K ◽  
◽  
Narasimhamurthy S. K ◽  
Keyword(s):  
Einstein Equations ◽  
Linear Connections
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