Ho\u{r}ava-Lifshitz Gravity on Primordial Black Holes

TL;DR

This paper evaluates the Hořava-Lifshitz quantum gravity model using primordial black hole solutions and observational data, finding it constrained but not excluded, with potential implications for PBH density parameters.

Contribution

It applies HL gravity to primordial black holes and combines observational constraints to assess the model's viability and effects on PBH density.

Findings

HL model is severely constrained but not ruled out.

PBH density parameter may increase with the running energy parameter.

Analysis suggests potential observable effects in PBH density due to HL gravity.

Abstract

We tested the Ho\u{r}ava Lifshitz (HL) quantum gravity model by using the L{\" u}, Mei and Pope solutions for primordial black holes (PBHs) and the observational upper bounds of the PBH density parameters. We found that, although the HL model is severely constrained, it is not ruled out. When our analysis is combined with that of Dutta and Saridakis the observed value of the density parameter $\Omega_{PBH}$ might rise by several percent as the running energy parameter $\lambda$ increases.