4.7 Article

A static axisymmetric exact solution of f(R)-gravity

期刊

PHYSICS LETTERS B
卷 718, 期 4-5, 页码 1493-1499

出版社

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2012.12.014

关键词

f(R)-gravity; Static axisymmetric; Exact solution

资金

  1. TWAS-CONACYT Postdoctoral Fellowship Programme
  2. CONACYT [290679_UNAM]

向作者/读者索取更多资源

We present an exact, axially symmetric, static, vacuum solution for f (R)-gravity in Weyl's canonical coordinates. We obtain a general explicit expression for the dependence of df(R)/dR upon the r and z coordinates and then the corresponding explicit form of f(R), which must be consistent with the field equations. We analyze in detail the modified Schwarzschild solution in prolate spheroidal coordinates. Finally, we study the curvature invariants and show that, in the case of f(R) not equal R, this solution corresponds to a naked singularity. (C) 2012 Elsevier B.V. All rights reserved.

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