Accelerating Universe Around A Blackhole

TL;DR

This paper proposes a model where a black hole creates an extra-dimensional entity, leading to an accelerating universe, by analyzing Einstein's equations in a seven-dimensional spacetime with specific assumptions about scale factors.

Contribution

It introduces a novel seven-dimensional cosmological model with a black hole generating an extra dimension, demonstrating universe acceleration under exponential reduction assumptions.

Findings

Hubble parameter is positive and time-dependent.

Universe accelerates under certain conditions.

Blackhole's exponential scale reduction influences cosmic expansion.

Abstract

We have assumed that in a physical universe a blackhole is created some where. We conjecture that this blackhole will then separate itself from the physical universe and will build up an extra dimensional entity associated with the physical universe. The extra dimensional entity we suppose to be orthogonal to the physical universe. We further conjecture that this blackhole is a Schwartzschild blackhole. We assume that this physical universe and the blackhole span a seven dimensional space with a common time coordinate. We then generate the Einstein equation. Using the time-blackhole and the time-time component of the equation we show that the Hubble parameter is positive and time dependent if we conjecture that both scale factor and the radius of the blackhole reduces exponetially. Under the same assumption we have also calculated the deacceleration parameter and shown that under certain constrain the universe accelerates.