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2011

Quantum gravity effects on compact star cores

Wang, Peng, Yang, Haitang, Zhang, Xiuming

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Using the Tolman-Oppenheimer-Volkoff equation and the equation of state of zero temperature ultra-relativistic Fermi gas based on generalized uncertainty principle (GUP), the quantum gravitational effects on the cores of compact stars are discussed.

Our results show that ${2m(r)}/ {r}$ varies with $r$.
Quantum gravity plays an important role in the region $ r\sim 10^3 r_0$, where $r_0\sim \beta_0 l_p $, $l_p$ is the Planck length and $\beta_0$ is a dimensionless parameter accounting for quantum gravity effects.
Furthermore, near the center of compact stars, we find that the metric components are $g_{tt}\sim r^4$ and $g_{rr}=[1-{r}^2/(6r_0^2)]^{-1}$.

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