On the possibility of observation of the future for movement in the field of black holes of different types

TL;DR

The paper demonstrates that observing the infinite future of the universe from within a black hole's influence is impossible during finite proper time, with significant time dilation effects for particles in Kerr black holes at high energies.

Contribution

It provides a theoretical analysis of time observation limits inside black holes and quantifies time dilation effects for particles orbiting Kerr black holes at ultrarelativistic speeds.

Findings

Observation of the universe's infinite future from within a black hole is impossible in finite proper time.

Time dilation effects are significant for ultrarelativistic particles around Kerr black holes.

Quantitative evaluations of time dilation effects for circular orbits around Kerr black holes are provided.

Abstract

It is shown for a spherically symmetric black hole of general type that it is impossible to observe the infinite future of the Universe external to the hole during the finite proper time interval of the free fall. Quantitative evaluations of the effect of time dilatation for circular orbits around the Kerr black hole are obtained and it is shown that the effect is essential for ultrarelativistic energies of the rotating particle.