Vol. 24 No. 3S2 (2014)
Papers

A Spherically Symmetric Solution of \(R+\lambda R^2\) Gravity

Bui Quyet Thang
Post graduate department, Institute of Physics, Vietnam Academy of Science and Technology
Do Thi Huong
Institute of Physics, Vietnam Academy of Science and Technology

Published 24-09-2014

Keywords

  • Einstein theory,
  • extended Einstein theory,
  • Schwarzschild metric,
  • Extended Schwarzschild metric

How to Cite

Thang, B. Q., & Huong, D. T. (2014). A Spherically Symmetric Solution of \(R+\lambda R^2\) Gravity. Communications in Physics, 24(3S2), 23–28. https://doi.org/10.15625/0868-3166/24/3S2/4991

Abstract

We shortly review the metric formalism for the \(f(R)\)  gravity.  Based on the metric formalism, westudy the spherically symmetric static empty space solutions with the gravity Lagrangian\(L=R+\lambda R^2\). We found the general metric that described the static empty space with thespherically symmetry.  Our result is more general than Schwarzschild  solution, specially thepredicted metric is perturbed Schwarzschild metric of the Einstein theory.

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