On the formation of "supermassive" neutron stars and dynamical transition to spontaneous scalarization
Juan Carlos Degollado, Marcelo Salgado, Miguel Alcubierre

TL;DR
This paper explores how spontaneous scalarization in scalar-tensor theories can lead to supermassive neutron stars, but argues such stars cannot form solely through dynamic transition from unscalarized states, requiring alternative formation processes.
Contribution
It demonstrates that maximum mass scalarized neutron stars cannot originate from dynamic transitions of initial unscalarized stars, highlighting the need for different formation mechanisms.
Findings
Maximum mass models cannot form solely from dynamic scalarization transitions.
Scalarization results in a mass decrease, with the excess mass radiated away as scalar field.
Formation of supermassive neutron stars likely involves cosmological or accretion processes.
Abstract
It is well known that neutron stars can undergo a phase transition under a certain class of Scalar Tensor Theories of gravity (STT's) where a new order parameter, the {\it scalar charge}, appears within the star. This is the well known phenomenon of spontaneous scalarization (SC) discovered by Damour and Esposito-Far\`ese in 1993. Under such mechanism neutron stars can afford in principle a maximum mass larger than in general relativity (GR) for a given equation of state without taking into account additional observational constraints (e.g. binary systems). This opens the possibility that neutron stars might be formed with masses as large as without the need of stiff, or more exotic, equations of state for the nuclear matter. Thus, STT's through SC may account for compact objects with large masses observed recently in the sky in the form of pulsars (PSR J0348+0432 with…
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