Self-consistent solution to the semiclassical Einstein equations of a star

2025/01/16 by Pietro Paolo Melella, Melella, Pietro Paolo, Ignacio A. Reyes +1
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Einstein equations #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th) #Mathematical physics #Physics #Quantum #Quantum mechanics #Semiclassical physics #Star (game theory)

paper · pdf · doi:10.48550/arxiv.2501.09784

openalex publication_date 2025/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the interior solution for a static, spherically symmetric perfect fluid star backreacted by QFT in four dimensions invoking no arbitrary parameters. It corresponds to a constant energy density star and is fully non-perturbative. The space of solutions includes ultra-compact configurations that have neither singularities nor light rings inside the star and can exist arbitrarily close to the Schwarzschild limit, showing that the classical paradigm of astrophysics does not hold once QFT in curved space is taken into account.

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