Looking for static interior solutions of Buchdahl star with p_r=0, p_t=kρ in general relativity and pure Lovelock theories

2023/05/04 by Shauvik Biswas, Biswas, Shauvik, Chiranjeeb Singha +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2305.02768

openalex publication_date 2023/05/04 · openalex created_date 2023/05/07 · openalex updated_date 2026/07/28

Abstract

We find static fluid solutions of Einstein and pure Lovelock equations with p_r=0, p_t=kρ, which could be possible models for the interior of a Buchdahl-like star. Buchdahl star is a limiting stellar configuration without a horizon whose formation does not need any exotic matter.

Related

• On the equilibrium of the Buchdahl star
• Breaking Buchdahl: ultracompact stars in semiclassical gravity
• A generalized buchdahl model for compact stars in f (R;T) gravity
• Static Stellar Phase Transitions in General Relativity and a Generalized Buchdahl Limit
• Buchdahl stars and bounds with cosmological constant