Non-Geodesic Incompleteness in Poincaré Gauge Gravity

Area of Science:

• Theoretical physics
• Gravitational physics
• Mathematical physics

Background:

• Singularities are a key feature in gravitational theories.
• Poincaré gauge gravity offers an alternative framework to Einstein's general relativity.
• Black hole regions have been recently identified as indicators of singular behavior.

Purpose of the Study:

• To review the study of singularities within Poincaré gauge theories of gravity.
• To provide explicit examples of black hole regions of arbitrary dimensions.
• To investigate particle behavior in the vicinity of these gravitational structures.

Main Methods:

• Literature review of singularities in Poincaré gauge gravity.
• Analytical derivation of black hole solutions.
• Particle trajectory analysis in curved spacetime.

Main Results:

• Identification of specific types of singularities in Poincaré gauge theories.
• Characterization of black hole regions with varying dimensions.
• Description of particle motion influenced by these singularities.

Conclusions:

• Singularities in Poincaré gauge gravity are linked to the formation of black hole regions.
• The behavior of particles near these regions provides insights into the nature of spacetime.
• Further research is needed to fully understand the implications of these findings.