Attractive gravity probe surface with positive cosmological constant

TL;DR

This paper introduces a new geometric object related to the cosmological horizon in spacetimes with positive cosmological constant and demonstrates an areal inequality, exploring attractive gravity probe surfaces as indicators of gravitational attraction.

Contribution

It proposes a novel geometrical construct associated with the cosmological horizon and establishes an areal inequality in such spacetimes.

Findings

Introduction of a new geometric object linked to the cosmological horizon

Proof of an areal inequality in positive cosmological constant spacetimes

Analysis of attractive gravity probe surfaces as indicators of gravity

Abstract

In four dimensional spacetimes with a positive cosmological constant, we introduce a new geometrical object associated with the cosmological horizon and then show the areal inequality. We also examine the attractive gravity probe surfaces as an indicator for the existence of attractive gravity.