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A Linear Response relation for perturbations in compact stars and the\n classical Einstein-Langevin formalism

2021/10/05 by Seema Satin, Satin, Seema
Physics and Astronomy · #Astro and Planetary Science #Astrophysics and Star Formation Studies #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #Stellar, planetary, and galactic studies

paper · pdf · doi:10.48550/arxiv.2110.01837

openalex publication_date 2021/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a linear response relation for perturbations in relativistic stars\nand classify them in terms of implicit and induced perturbations. The focus in\nthis article is on the induced perturbations which may arise due to internal\nsources in dense matter compact objects. Based on the linear response relation,\nan Einstein Langevin equation is given and its solutions for a simple case are\nobtained in closed analytical form as a first exercise. Our results show how\nperturbations in relativistic stars can arise due to a cumulative effect of\nmesoscopic scale fluctuations in the dense matter fluids, which otherwise seem\nto be screened off at hydrodynamic scales due to averaging. We discuss the\nrelevance of such a framework and its potential towards building up a theme of\nresearch in asteroseismology using a first principles approach.\n

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