Compact stars with gravitational wave echoes in $f(R,L_{m},T)$ gravitational theory

Abstract: This work explores the gravitational wave echoes (GWEs) from the compact stellar configurations in the backdrop of $f(R,L_{m},T)$ gravity within static and spherically symmetric framework. Our study has utilized the MIT Bag model and color-favour-locked (CFL) phase equations of state (EoS) for matter description. Mass-radius profiles were determined by solving the hydrostatic equilibrium equations. Model parameter variations were used to assess the configuration stability here. TOV solutions helped to evaluate compactness. Our results indicate that MIT bag model and CFL EoS in $f(R,L_{m},T)$ modified gravitational theory are capable of producing GWEs. The calculated wave frequencies lie within the range of $ 7.5-11 $ kHz range. We have also demonstrated that how different gravitational theory parametrization within $f(R,L_{m},T)$ theory affect our star structure and echo frequency characteristics. Surface redshift and adiabatic index analysis confirm the stability of our stellar model here.