Open AccessGeneralized Gibbons-Hawking-York term for f(R) gravity
Author(s) -
Ahmed Alhamawi,
Rahim Alhamawi
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1294/3/032032
Subject(s) - term (time) , hawking , mathematical physics , metric (unit) , action (physics) , boundary (topology) , physics , gravitation , set (abstract data type) , gravitational field , field (mathematics) , mathematics , classical mechanics , theoretical physics , mathematical analysis , computer science , pure mathematics , quantum mechanics , universe , engineering , operations management , programming language
A derivation of the Gibbons-Hawking-York boundary term for modified gravity metric is presented. The GHY term is generalized for the case of f(R) modified gravity. It is shown that a stable set of field equations can be formed with aid of the new GHY term for the case of f(R) gravity action. It is proven that the new term demands no particular value of δg a or ∂ L δg a on the boundary. Finally, the surface terms are shown to vanish in the derivation of the new equations.