### Abstract

We introduce an effective action smoothly extending the standard Einstein-Hilbert action to include un-gravity effects. The improved field equations are solved for the un-graviton corrected Schwarzschild geometry reproducing the Mureika result. This is an important test to confirm the original "guess" of the form of the un-Schwarzschild metric. Instead of working in the weak field approximation and "dressing" the Newtonian potential with un-gravitons, we solve the "effective Einstein equations" including all order un-gravity effects. An unexpected "bonus" of accounting un-gravity effects is the fractalisation of the event horizon. In the un-gravity dominated regime the event horizon thermodynamically behaves as fractal surface of dimensionality twice the scale dimension dU. © 2010 Elsevier B.V.

Original language | English |
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Pages (from-to) | 155-158 |

Number of pages | 4 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

DOIs | |

Publication status | Published - 1 Sep 2010 |

Externally published | Yes |

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## Cite this

Gaete, P., Helaÿel-Neto, J. A., & Spallucci, E. (2010). Un-graviton corrections to the Schwarzschild black hole.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, 155-158. https://doi.org/10.1016/j.physletb.2010.07.058