English

New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity

General Relativity and Quantum Cosmology 2025-09-11 v1 High Energy Physics - Theory

Abstract

A New Taub-NUT black hole in multiple coordinate systems is solved and analyzed. This black-hole is found to be an extension of the Clifton-Barrow metric for the specific case that δ=1/2\delta=-1/2. We look at physical properties such as test particle orbits, thermodynamics, and various space-time limits. In addition, we show an Eguchi-Hanson type-II f(R)f(R) solution related to the found Taub-NUT framework.

Keywords

Cite

@article{arxiv.2509.08033,
  title  = {New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity},
  author = {J. G. Fenwick and A. M. Ghezelbash},
  journal= {arXiv preprint arXiv:2509.08033},
  year   = {2025}
}

Comments

11 pages, 1 figure