Journal
PHYSICS LETTERS B
Volume 693, Issue 2, Pages 155-158Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2010.07.058
Keywords
Un-particles; Black holes
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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 d(U). (C) 2010 Elsevier B.V. All rights reserved.
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