Constraints set on key parameters of the nuclear matter equation state (EoS) by values tidal deformability, inferred from GW170817, are examined using a diverse relativistic and nonrelativistic mean-field models. These models consistent with bulk properties finite nuclei as well observed lower bound maximum mass neutron star $\ensuremath{\approx}2{M}_{\ensuremath{\bigodot}}$. The deformability shows strong correlation specific linear combinations isoscalar isovector associated EoS. Such...

We examine the correlations of neutron star radii with nuclear matter incompressibility, symmetry energy, and their slopes, which are key parameters equation state (EoS) asymmetric matter. The EoS evaluated using a representative set 24 Skyrme-type effective forces 18 relativistic mean field models, two microscopic calculations, all describing $2{M}_{\ensuremath{\bigodot}}$ stars. Unified EoSs for inner-crust--core region have been built phenomenological both nonrelativistic. Our...

New observational data measured with high degree of accuracy compact isolated neutron stars and binary in gravitational wave remnants have the potential to explore strong field gravity. Within framework energy-momentum squared gravity (EMSG) theory, we study its impact on several properties plausible modifications from predictions general relativity. Based a representative set relativistic nuclear mean models, nonrelativistic Skyrme-Hartree-Fock microscopic calculations, show deviations star...

From empirically determined values of some the characteristic constants associated with homogeneous nuclear matter at saturation and sub-saturation densities, within framework a Skyrme-inspired energy density functional, we construct an equation state (EoS) matter.This EoS is then used to predict slope parameters symmetry $L(\rho)$, isoscalar incompressibility $K(\rho)$ few related quantities. The close consonance our predicted currently available ones for dependence gleaned from diverse...

Hadron-quark phase transition in neutron star cores is achieved the present work with help of Maxwell construction. For purpose we employ six different and well-known hadronic models for pure phase. The quark described MIT Bag model which density dependence bag pressure $B(\rho)$ invoked asymptotic values ($B_{as}$) $B(\rho)$. resulting hybrid (HS) configurations exhibit twin characteristics distinct special points (SPs) on mass-radius diagram HSs irrespective densities value $B_{as}$. We...

The phenomena of deconfinement hadronic matter into quark at high density, relevant to hybrid star (HS) cores, is studied in the present work. effective chiral model describes pure phase while for MIT bag chosen with density dependent pressure. Phase transition achieved using Maxwell construction. effect variation asymptotic value pressure ($B_{as}$) analyzed w.r.t mass and radius HSs. presence hyperons sector also has significant on choice $B_{as}$. Both composition $B_{as}$ significantly...

The spinodal instabilities in hot asymmetric nuclear matter and some important critical parameters derived thereof are studied by using six different families of relativistic mean-field models. slopes the symmetry energy coefficient vary over a wide range within each family. densities proton fractions more sensitive to slope parameter at temperatures much below its value (${T}_{c}\ensuremath{\sim}14\ensuremath{-}16\phantom{\rule{0.28em}{0ex}}\mathrm{MeV}$). spread fraction given is...

We study the diversities in properties of neutron stars arising due to different choices for cross coupling between various mesons, which governs density dependence nuclear symmetry energy extended relativistic mean-field (RMF) model. For this purpose, we obtain two families RMF model corresponding nonlinear cross-coupling terms isovector part effective Lagrangian density. The lowest-order contributions $\ensuremath{\delta}$ mesons are also included. models within same family yield wide...

The model dependence and the symmetry energy of core-crust transition properties for neutron stars are studied using three different families systematically varied extended relativistic mean field model. Several forces within each so considered that they yield wide variations in values nuclear $a_{\rm sym}$ its slope parameter $L$ at saturation density. density is calculated a method based on random-phase-approximation. strongly correlated, independent manner, with evaluated pressure point...

We calculate the transport coefficients like shear viscosity and electrical conductivity with respect to density of dense hadronic quark matter. By considering simple massless limit for matter two different effective models matter, we have estimated phases separately. sketched profile in parts viz. phase-space part relaxation time part. calculating ratio, also explored nearly perfect fluid domain

Delay differential equations (DDEs) are extensively utilized in fields such as control systems, biology, and engineering to model processes where current states depend on past states, effectively accounting for time lags. Key applications include population dynamics, epidemic modeling, economic delayed responses significantly influence system behavior. This paper presents the first extension of Optimal Auxiliary Functions Method (OAFM) second-order third-order DDEs. The strength this method...

In this work, we have developed an extended statistical model to study nuclear multifragmentation reactions at intermediate energies, and link the associated observables properties of supernova matter. The canonical thermodynamical model, used for study, is modified by including inputs from relativistic mean-field energy functionals. Even though length scale matter very large compared that reaction, find isospin observable, average $\ensuremath{\langle}Z/N\ensuremath{\rangle}$ fragments,...

New observational data, measured with a high degree of accuracy, compact isolated neutron stars and binary in gravitational wave remnants have the potential to explore strong field gravity. Within framework energy-momentum squared gravity (EMSG) theory we study its impact on several properties plausible modifications from predictions general relativity. Based representative set relativistic nuclear mean models, non-relativistic Skyrme-Hartree-Fock models microscopic calculations, show...

Hadron-quark phase transition in neutron star cores is achieved the present work with help of Maxwell construction. For purpose we employ six different and well-known hadronic models for pure phase. The quark described MIT Bag model which density dependence bag pressure $B(ρ)$ invoked asymptotic values ($B_{as}$) $B(ρ)$. resulting hybrid (HS) configurations exhibit twin characteristics distinct special points (SPs) on mass-radius diagram HSs irrespective densities value $B_{as}$. We find...