https://doi.org/10.1140/epjc/s10052-024-13381-6
Regular Article - Theoretical Physics
Gravastars formation with back-reaction effects from extended general relativity
1
Instituto de Investigaciones Físicas de Mar del Plata-IFIMAR, Consejo Nacional de Investigaciones Científicas y Técnicas-CONICET, Mar del Plata, Argentina
2
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
Received:
20
June
2024
Accepted:
17
September
2024
Published online:
22
October
2024
Using an extended theory of General Relativity that incorporates normalized relativistic velocities, where the boundary terms in the varied Einstein–Hilbert action are considered. Within this context, I investigate the dynamic evolution of a collapsing spherical system characterized by a metric with spatial curvature and variable time-scale, aiming to describe the process of Gravastar formation. To illustrate the system’s dynamics, I analyze a power-law collapsing scenario and derive the equation of state for both cases, with and without geometrical perturbations. In particular, I derive the equation of state, incorporating back-reaction effects related with the boundary terms of the varied Einstein–Hilbert action.
© The Author(s) 2024
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