Zhang, HS (reprint author), Shanghai Normal Univ, Ctr Astrophys, 100 Guilin Rd, Shanghai 200234, Peoples R China.
; Li, Xin-Zhou] Shanghai Normal Univ, Ctr Astrophys, Shanghai 200234, Peoples R China
; [Zhang, Hongsheng] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
; [Hu, Yapeng] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 210016, Peoples R China
; [Hu, Yapeng] Shanghai Jiao Tong Univ, Shanghai Key Lab Particle Phys & Cosmol, Shanghai 200240, Peoples R China
We study the Misner-Sharp mass for the f(R) gravity in an n-dimensional (n >= 3) spacetime which permits three-type (n - 2)-dimensional maximally symmetric subspace. We obtain the Misner-Sharp mass via two approaches. One is the inverse unified first law method and the other is the conserved charge method, which uses a generalized Kodama vector. In the first approach, we assume the unified first law still holds in n-dimensional f(R) gravity, which requires a quasilocal mass form (we define it as the generalized Misner-Sharp mass). In the second approach, the conserved charge corresponding to the generalized local Kodama vector is the generalized Misner-Sharp mass. The two approaches, which are bridged by a constraint, are equivalent. This constraint determines the existence of a well-defined Misner-Sharp mass. In an important special case, we present the explicit form for the static space, and we calculate the Misner-Sharp mass for the Clifton-Barrow solution as an example.