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.
|Number of pages||4|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1 Sep 2010|
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