Consequences of a minimal length in a pseudo-complex extension of general relativity
Por:
Maghlaoui, Leila, Hess, Peter O.
Publicada:
1 jul 2022
Resumen:
In this paper, the effects of a minimal length are investigated within
an algebraically extended theory of General Relativity (GR). Former
attempts, to include a minimal length in GR, are first resumed with a
conformal factor of the metric as a consequence. Effective potentials
for various black hole masses (as ratios to the minimal length) are
deduced. It is found that the existence of a minimal length has, for a
small mass black hole, important effects on the effective potential near
the event horizon, creating barriers which inhibit that particles can
pass the event horizon. Further, a new limit for the minimal mass of a
black hole is derived.
Filiaciones:
Maghlaoui, Leila:
Univ Mentouri Constantine 1, Phys Dept, Constantine POB,325 Ain El Bey Way, Constantine 25017, Algeria
Univ Mentouri Constantine 1, Math & Subat Phys Lab LPMPS, Constantine, Algeria
Hess, Peter O.:
Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Ciudad Univ,Circuito Exterior S-N,AP 70-543, Mexico City 04510, DF, Mexico
JW von Goethe Univ, Frankfurt Inst Adv Studies, Hessen, Germany
Green Submitted
|