Abstract
We compute the metric fluctuations induced by a turbulent energy-matter tensor within the first order
post-Minkowskian approximation. It is found that the turbulent energy cascade can in principle interfere
with the process of black hole formation, leading to a potentially strong coupling between these two highly
nonlinear phenomena. It is further found that a power-law turbulent energy spectrum EðkÞ ~ k-n generates
metric fluctuations scaling as xn-2, where x is the four-dimensional spacelike distance from an arbitrary
origin in Minkowski spacetime, highlighting the onset of metric singularities whenever n < 2. Finally, the
effect of metric fluctuations on the geodesic motion of test particles is also discussed as a potential
technique to extract information on the spectral characteristics of fluctuating spacetime.
Anno
2022
Autori IAC
Tipo pubblicazione
Altri Autori
Donato Bini, Stuart Kauffman, Sauro Succi, Pablo G. Tello
Editore
American Physical Society,
Rivista
Physical review. D. Particles, fields, gravitation, and cosmology (Online)