Self-complete and GUP-Modified Charged and Spinning Black Holes

Understand

We explore some implications of our previous proposal, motivated in part by the Generalised Uncertainty Principle (GUP) and the possibility that black holes have quantum mechanical hair that the ADM mass of a system has the form $M + \beta M_\mathrm{Pl}^2/(2M)$, where $M$ is the bare mass, $M_\mathrm{Pl}$ is the Planck mass and $\beta$ is a positive constant.

• This also suggests some connection between black holes and elementary particles and supports the suggestion that gravity is self-complete.
• We extend our model to charged and rotating black holes, since this is clearly relevant to elementary particles.
• The standard Reissner-Nordstr\"om and Kerr solutions include zero-temperature states, representing the smallest possible black holes, and already exhibit features of the GUP-modified Schwarzschild solution.