Black holes in an ultraviolet complete quantum gravity

By L. Modesto, J. W. Moffat, Piero Nicolini. 2010

175 citations recorded by the source corpus.

Abstract In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a regular spacetime geometry: in place of the conventional curvature singularity extreme energy fluctuations of the gravitational field at small length scales provide an effective cosmological constant in a region locally described in terms of a de Sitter space. We show that the new metric coincides with the noncommutative geometry inspired Schwarzschild black hole. Indeed, we show that the ultraviolet complete quantum gravity, generated by ordinary matter is the dual theory of ordinary Einstein gravity coupled to a noncommutative smeared matter. In other words we obtain further insights about that quantum gravity mechanism which improves Einstein gravity in the vicinity of curvature singularities. This corroborates all the existing literature in the physics and phenomenology of noncommutative black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bd1b5adce3034fbe6ff5d05f019273185ccafd91

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Citations in the corpus

Born–Infeld inspired modifications of gravity (2017, background): “Indeed, from an intuitive point of view, since gravity is a matter of curvature, the blow up of curvature scalars could be seen as an indication of the presence of large tidal forces that would potentially rip apart a physical (extended) observer, which has shaped numerous approaches to get rid of s”
Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity (2014, background): “For important works on slightly different approaches to quantizing gravity involving infinite-derivative interactions, see 1 [28, 29, 30, 31, 32, 33].”
Black Hole Remnants and the Information Loss Paradox (2014, methodology): “It is also possible to arrive at the same result via a non-local deformation of gravity [135], similar to what we will review next in this subsection.”
Occurrence of exact R2 inflation in non-local UV-complete gravity (2016, background): “At the level of classical solutions of these theories the Newtonian potential turns out to be a regular at short distances (high energies) with a universal constant limit at zero distance [7, 20–29].”