Artículos de revistas
Scalar-multi-tensorial equivalence for higher order f (R,del R-mu,del(mu 1)del R-mu 2, ... ,del(mu 1) ... del R-mu n) theories of gravity
Fecha
2016-06-13Registro en:
Physical Review D. College Pk: Amer Physical Soc, v. 93, n. 12, 10 p., 2016.
2470-0010
10.1103/PhysRevD.93.124034
WOS:000377805500013
WOS000377805500013.pdf
Autor
Univ Fed Alfenas
Universidade Estadual Paulista (Unesp)
Univ Fed Rio Grande do Norte
Inst Tecnol Aeronaut
Institución
Resumen
The equivalence between theories depending on the derivatives of R, i.e. f(R, del R, ... ,del R-n), and scalar-multi-tensorial theories is verified. The analysis is done in both metric and Palatini formalisms. It is shown that f(R,del R, ... ,del R-n) theories are equivalent to scalar-multi-tensorial ones resembling Brans-Dicke theories with kinetic terms omega(0) = 0 and omega(0) = -3/2 for metric and Palatini formalisms respectively. This result is analogous to what happens for f(R) theories. It is worth emphasizing that the scalar-multi-tensorial theories obtained here differ from Brans-Dicke ones due to the presence of multiple tensorial fields absent in the last. Furthermore, sufficient conditions are established for f(R,del R, ..., del R-n) theories to be written as scalar-multi-tensorial theories. Finally, some examples are studied and the comparison of f(R,del R, ..., del R-n) theories to f(R,square R,...,square R-n) theories is performed.