Bose-Einstein condensate stars in massive gravity

Abstract: This study explores the construction, validity and the properties of Boson or Bose-Einstein condensate (BEC) stars under the framework of de Rham-Gabadadze-Tolley (dRGT) like massive gravity, employing the Kuchowicz metric potential to model their internal structure. This gravitational framework accounts for a massive graviton while ensuring the absence of ghost instabilities during propagation. The BEC stellar configuration in this study was obtained by determining the solutions characterized by static and spherical symmetric metric. This study provides a detailed account of the stellar structure, highlighting the roles played by massive gravity and the Kuchowicz metric through a combination of analytical and numerical solutions. Our work specifically utilizes the Colpi-Wasserman-shapiro (CWS) and Gross-Pitaevskii (GP) equations of state (EoS) to model the internal thermodynamic behavior of the BEC. We have evaluated the physical viability of the BEC stellar framework by analyzing the energy conditions, and the EoS parameter along with the gradients of the energy-momentum tensor. The stability criteria such as the study of surface redshift, adiabatic index and squared sound velocity were utilized to confirm that our proposed model is both stable and physically consistent. Hence, this study offers a definitive structural analysis of the BEC stars, providing precise results in this massive gravity environment.