Abstract
The proposal of pilgrim dark energy is based on speculation that phantom-like dark energy (with strong enough resistive force) can prevent black hole formation in the universe. We explore this phenomenon in loop quantum cosmology framework by taking Hubble horizon as an infra-red cutoff in pilgrim dark energy. We evaluate the cosmological parameters such as Hubble, equation of state parameter, squared speed of sound and also cosmological planes like $\omega_{\vartheta}-\omega'_{\vartheta}$ and $r-s$ on the basis of pilgrim dark energy parameter ($u$) and interacting parameter ($d^2$). It is found that values of Hubble parameter lies in the range $74^{+0.005}_{-0.005}$. It is mentioned here that equation state parameter lies within the ranges $-1\mp0.00005$ for $u=2, 1$ and $(-1.12,-1), (-5,-1)$ for $u=-1,-2$, respectively. Also, $\omega_{\vartheta}-\omega'_{\vartheta}$ planes provide $\Lambda$CDM limit, freezing and thawing regions for all cases of $u$. It is also interesting to mention here that $\omega_{\vartheta}-\omega'_{\vartheta}$ planes lie in the range ($\omega_{\vartheta}=-1.13^{+0.24}_{-0.25}, \omega'_{\vartheta}<1.32$). In addition, $r-s$ planes also corresponds to $\Lambda$CDM for all cases of $u$. Finally, it is remarked that all the above constraints of cosmological parameters shows consistency with different observational data like Planck, WP, BAO, $H_0$ and SNLS.
Highlights
General relativity laid down the foundation of modern cosmology; it proposed the cosmological constant as a pioneer candidate of dark energy (DE)
It can be observed from the plots that the squared speed of sound remains positive for all cases of u and d2, which exhibits the stability of the pilgrim DE (PDE) in loop quantum cosmology (LQC) scenario
In the LQC framework, cosmological implications have been discussed with the help of various interaction terms between different DE models and DM
Summary
General relativity laid down the foundation of modern cosmology; it proposed the cosmological constant (homogeneous energy density) as a pioneer candidate of DE. By keeping in mind this phenomenon, Wei [17] has suggested the DE model called pilgrim DE (PDE) by the speculation that phantom DE possesses a large negative pressure as compared to the quintessence DE which helps in violating the null energy condition and possibly prevents the formation of BHs. In the past, many applications of phantom DE existed in the literature. It was suggested that BHs might not exist in the universe in the presence of quintessence-like DE which violates only the strong energy condition [49,50] All this does not correspond to reality because quintessence DE does not contain enough resistive force to avoid the formation of BHs. The above discussion has motivated Wei [17] in developing the PDE model.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
