Publicación: MODIFIED-GRAVITY THEORIES WITH NONDYNAMICAL BACKGROUND FIELDS
Fecha
2022
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PHYSICAL REVIEW D
Resumen
WE STUDY THE DYNAMICS OF A MODIFIED-GRAVITY THEORY, WHICH IS SUPPLEMENTED BY AN EXTENDED GIBBONSHAWKING-YORK BOUNDARY TERM AND INCORPORATES DIFFEOMORPHISM VIOLATION THROUGH NONDYNAMICAL BACKGROUND FIELDS DENOTED AS U AND S?? IN THE LITERATURE. AN ADM DECOMPOSITION ALLOWS US TO PROJECT THE MODIFIED EINSTEIN EQUATIONS INTO PURELY SPACELIKE HYPERSURFACES, WHICH IMPLIES THE FIELD EQUATIONS FOR THE INDUCED DYNAMICAL THREE-METRIC. WE ALSO OBTAIN THE HAMILTON-JACOBI EQUATIONS OF MOTION FOR THE CANONICAL VARIABLES OF THE THEORY BASED ON ITS HAMILTONIAN, WHICH WAS DERIVED IN A PREVIOUS WORK. THE COMPUTATIONS SHOW THAT THE DYNAMICAL FIELD EQUATIONS OBTAINED FROM THE LAGRANGIAN AND HAMILTONIAN APPROACHES ARE CONSISTENT WITH EACH OTHER. CONNECTIONS TO BRANS-DICKE THEORY AND GHOST-FREE MASSIVE GRAVITY ARE ESTABLISHED.
