Inflationary attractors predictions for static neutron stars in the mass-gap region

In this work we study static neutron stars in the context of several inflationary models which are popular cosmology. These nonminimally coupled scalar theories yield a viable phenomenology both Jordan and Einstein frames. By considering constraints from theories, basically determine values potential strength, usually considered as free parameter astrophysical star works, construct solve Tolman-Oppenheimer-Volkoff equations using solid Python-3 LSODA integrator. For our consider models, such universal attractors, ${R}^{p}$ attractors (three distinct model values), induced inflation, quadratic Higgs inflation $a$-attractors (two values) for following state WFF1, SLy, APR, MS1, AP3, AP4, ENG, MPA1 MS1b. We $M\ensuremath{-}R$ diagram confront resulting theory with theoretical observational constraints. As demonstrate, remarkably, all produced by compatible equation state. It is notable that particular state, maximum masses mass-gap region $M>2.5{M}_{\ensuremath{\bigodot}}$, but lower than three solar causal limit. Another important feature it may be possible to discriminate at cosmological level indistinguishable graphs stars, however point out limitations discriminating attractors. Also show MS1 MS1b seem entirely ruled out, regarding description stars. also make observation NICER pushed towards larger radii, example case black widow pulsar PSR J0952-0607, seems produce mass gap region, limit, favored modified Finally question ability pass impose whether plays any fundamental role physics.