English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

One of remarkable features of loop quantum gravity (LQG) is that it canprovide resolutions to both the black hole and big bang singularities. In themini-superspace approach based on the polymerization procedure in LQG, aquantum corrected black hole metric is constructed. This metric is also knownas self-dual spacetime since the form of the metric is invariant under theexchange $r \to a_0/r$ with $a_0$ being proportional to the minimum area in LQGand $r$ is the standard radial coordinate at asymptotic infinity. It modifiesthe Schwarzschild spacetime by the polymeric function $P$, purely due to thegeometric quantum effects from LQG. Here $P$ is related to the polymericparameter $\delta$ which is introduced to define the paths one integrates theconnection along to define the holonomies in the quantum corrected Hamiltonianconstraint in the polymerization procedure in LQG. In this paper, we considerits effects on the orbital signatures of S0-2 star orbiting Sgr A* in thecentral region of our Milky Way, and compare it with the publicly availableastrometric and spectroscopic data, including the astrometric positions, theradial velocities, and the orbital precession for the S0-2 star. We performMonte Carlo Markov Chain (MCMC) simulations to probe the possible LQG effectson the orbit of S0-2 star. No significant evidence of the self-dual spacetimearisIng from LQG is found. We thus place an upper bounds at 95\% confidencelevel on the polymeric function $P < 0.043$ and $P < 0.056$, for Gaussian anduniform priors on orbital parameters, respectively.

Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center