Why the spacetime embedding incompressible supradense nuclear matter is conformally flat?

Abstract

The multi-messenger observations of the merger event in GW170817 did not rule out the possibility that the remnant might be a dynamically stable neutron star with ${\mathcal{M}}_{rm}\ge 2.69{\mathcal{M}}_{\odot }.$ Based on this and other recent events, I argue that the universal maximum density hypothesis should be revived. Accordingly, the central densities in the cores of ultra-compact objects must be upper-limited by the critical density number $n_{cr},$ beyond which supradense nuclear matter becomes purely incompressible. Based on the spacetime-matter coupling in GR, it is shown that the topology of spacetime embedding incompressible quantum fluids with $n=n_{cr}$ must be Minkowski flat, which implies that spacetime at the background of ultra-compact objects should be of bimetric type.

4 pages, 2 figures

References in corpus (1)

• Constraints on the Neutron Star Equation of State from GW170817

Cited by in corpus (1)

• Does our universe conform with the existence of a universal maximum energy-density ${\rho }_{max}^{uni}$ ?