General Relativistic Machian Universe

TL;DR

This paper presents a general relativistic model of the Machian Universe, linking Schwarzschild and Robertson-Walker metrics with a cosmological constant or rotation, and suggests the cosmological constant may originate from centrifugal acceleration.

Contribution

It offers a novel general relativistic framework for Mach's Universe, connecting metrics with cosmic acceleration and proposing a classical origin for the cosmological constant.

Findings

Schwarzschild and Robertson-Walker metrics are compatible under Machian conditions.

The Universe's acceleration can be explained with a cosmological constant or rotation.

The cosmological constant may originate from a centrifugal acceleration field.

Abstract

The Machian Universe, is usually described with Newtonian Physics, We give an alternative General Relativistic picture for Mach's Universe. As such, we show that, in the correct Machian limit, Schwarzschild's metric is coherent with Robertson-Walker's, on condition that there be a cosmological constant, or the Universe's rotation -- or both. It is now confirmed that the Universe is accelerating, so the former condition applies. The latter was also confirmed one more time with the recently discovered NASA space probes anomalies. From Kerr-Lense-Thirring solution, we find an inverse scale-factor dependent angular speed; we then, show that the cosmological "constant" may have Classically originated from a centrifugal acceleration field.