The Merger of the Schwarzschild metric and the Robertson-Walker metric

2008/12/19 by Bethmini Senevirathne, Senevirathne, Bethmini, Nalin De Silva +2
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Planetary Science and Exploration #Relativity and Gravitational Theory #gr-qc #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0812.3740

3 pages

openalex publication_date 2008/12/19 · arxiv created 2008/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Schwarzschild metric giving the space time due to a spherically symmetric object is derived in the background of the Robertson Walker metric. In other words the two metrics are merged. It is found that under certain conditions the merger is at a distance less than the radius of the spherically symmetric object, thus not separating the object from the rest of the universe.

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