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On August 14, 2019, the LIGO/Virgo collaboration observed a compact objectwith mass $\sim 2.59_{-0.09}^{+0.08}~M_{\odot}$, as a component of a systemwhere the main companion was a black hole with mass $\sim 23~M_{\odot}$. Ascientific debate initiated concerning the identification of the low masscomponent, as it falls into the neutron star - black hole mass gap. Theunderstanding of the nature of GW190814 event will offer rich informationconcerning open issues, the speed of sound and the possible phase transitioninto other degrees of freedom. In the present work, we made an effort to probethe nuclear equation of state along with the GW190814 event. Firstly, weexamine possible constraints on the nuclear equation of state inferred from theconsideration that the low mass companion is a slow or rapidly rotating neutronstar. In this case, the role of the upper bounds on the speed of sound isrevealed, in connection with the dense nuclear matter properties. Secondly, wesystematically study the tidal deformability of a possible high mass candidateexisting as an individual star or as a component one in a binary neutron starsystem. As the tidal deformability and radius are quantities very sensitive onthe neutron star equation of state, they are excellent counters on dense matterproperties. We conjecture that similar isolated neutron stars or systems mayexist in the Universe and their possible future observation will shed light onthe maximum neutron star mass problem.

Probing the nuclear equation of state from the existence of a $\sim 2.6~M_{\odot}$ neutron star: the GW190814 puzzle