Quantum gravity effects on compact star cores

Details Quantum gravity effects on compact star cores Quantum gravity effects on compact star cores

2011-10-25

arxiv.org/abs/1110.5550v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure

Scientific paper

Using the Tolman-Oppenheimer-Volkoff equation and the equation of state of zero temperature ultra-relativistic Fermi gas based on GUP, the quantum gravitational effects on the cores of compact stars are discussed. Our results show that ${2\tilde{m}(\tilde{r})}/ {\tilde{r}}$ varies with $\tilde r$. Quantum gravity plays an important role in the region $\tilde r\sim 10^3$. Furthermore, near the center of compact stars, we find that the metric components are $g_{tt}\sim \tilde r^4$ and $g_{rr}=(1-\tilde{r}^2/6)^{-1}$. All these results are different from those obtained from classical gravity.

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