String Theory has no Isotropic Solution for the Modified Einstein's Equations without the Dilaton

2013/06/20 by Christopher Frye, Frye, Christopher, Costas Efthimiou +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1306.4871

arxiv created 2013/06/20 · openalex publication_date 2013/06/20 · arxiv updated 2013/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the modification to Einstein's vacuum field equations which is imposed by string theory when the dilaton field is ignored. Including the cosmological constant in all calculations, we prove that such a theory of gravity admits no static isotropic solution. We then show that any isotropic solution of the equations in question must necessarily be static, therefore proving that no isotropic solution exists for this stringy modification to gravity.

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• Stringy Corrections to the Classical Tests of General Relativity

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