Scalar stars and lumps with (A)dS core

• DOI: 10.48550/arxiv.2311.16934
• Publication Date: 2023-01-01
• Authors: Mariano Cadoni; Mauro Oi; Mirko Pitzalis; Andrea P. Sanna
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); General Relativity and Quantum Cosmology

We explore the possibility of embedding regular compact objects with (anti) de Sitter ((A)dS) core as solutions Einstein's gravity minimally coupled to a real scalar field. consider, among others, interpolating between an inner, potential-dominated and outer, kinetic-term-dominated region. Owing their analogy slow-roll inflation, we term them gravitational vacuum inflative stars, or gravistars for short. systematically discuss approximate theory describing either asymptotically-flat region at spatial infinity. extend nonexistence theorems smooth solutions, previously proved black holes, without event horizons. This allows us construct different classes exact (either non-smooth) singularity-free theory. first find solution AdS spacetime in (a Schwarzschild subleading $1/r^2$ deformation). proceed by constructing non-smooth gravistars. Finally, derive lump $\text{AdS}_4$ Nariai