A trace of inflation in the local behavior of cosmological constant

TL;DR

This paper investigates how a time-dependent cosmological constant influences local spacetime behavior, revealing inflationary phases in the distant past and future, and traces of initial cosmic acceleration.

Contribution

It introduces a model of a time-dependent cosmological constant and analyzes its local effects within Einstein's equations, highlighting inflationary asymptotes.

Findings

Identification of two asymptotes indicating inflationary eras

Evidence of initial cosmic acceleration in local cosmological constant behavior

Demonstration of local effects of a dynamic cosmological constant

Abstract

Assuming the existence of a cosmological constant depending on time, we study the evolution of this field in a local region of spacetime. Solving the standard equations of Einstein Relativity in the weak field approximation we find two asymptotes in the behavior of the cosmological constant. Their meaning is the existence of an inflationary era both in the far past and in the future. A trace of the initial acceleration of the Universe can be found also in the local behavior of cosmological constant.