Semiclassical spacetimes at super-Planckian scales from delocalized sources

Akil, A.1,2; Cadoni, M.3,4; Modesto, L.; Oi, M.3,4; Sanna, A. P.3,4

2023-08-23

10.1103/PhysRevD.108.044051

PHYSICAL REVIEW D   影响因子和分区

2470-0010

2470-0029

We derive the gravitational field and the spacetime metric generated by sources in quantum super-position of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as the expectation value of the gravitational potential operator in a Gaussian distribution of width R for the position of the source. The effective gravitational potential is then covariantly uplifted to a fully relativistic metric in general relativity, describing the spacetime generated by averaging over the state of such sources. These results are then rederived and extended by adopting an independent construction in terms of quantum reference frames. We find three classes of quantum effective metrics which are all asymptotically flat and reproduce the Schwarzschild metric at great distances. The solutions differ, however, in the inner core. The quantum uncertainty Delta r similar to R in the position of the source prevents the radius of the transverse two-sphere to shrink to zero. Depending on the strength of the quantum superposition effects, we have either a nonsingular black hole with a "quantum hair" and an event horizon, a one-way wormhole with a critical null throat or a traversable wormhole. We also provide a detailed study of the geometric and thermodynamic properties of the spacetime structure for each of these three families of models, as well as their phenomenology.

SCI

英语

NI期刊

第一 ; 通讯

Astronomy & Astrophysics ; Physics

Astronomy & Astrophysics ; Physics, Particles & Fields

WOS:001122656000005

AMER PHYSICAL SOC

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
2.Hong Kong Univ Sci & Technol, Dept Phys, Hong Kong, Peoples R China
3.Univ Cagliari, Dipartimento Fis, I-09042 Monserrato, Italy
4.INFN, Sez Cagliari, I-09042 Monserrato, Italy

Akil, A.,Cadoni, M.,Modesto, L.,et al. Semiclassical spacetimes at super-Planckian scales from delocalized sources[J]. PHYSICAL REVIEW D,2023,108(4).

Akil, A.,Cadoni, M.,Modesto, L.,Oi, M.,&Sanna, A. P..(2023).Semiclassical spacetimes at super-Planckian scales from delocalized sources.PHYSICAL REVIEW D,108(4).

Akil, A.,et al."Semiclassical spacetimes at super-Planckian scales from delocalized sources".PHYSICAL REVIEW D 108.4(2023).