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@article{65734,
author = {Posada Aguirre, Nelson Camilo and Hladík, Jan and Stuchlík, Zdeněk},
article_number = {10},
doi = {http://dx.doi.org/10.1103/PhysRevD.105.104020},
keywords = {neutron stars;Tolman VII solution; tidal Love number;tidal deformability},
language = {eng},
issn = {2470-0010},
journal = {Physical Review D},
title = {New interior model of neutron stars},
url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.105.104020},
volume = {105},
year = {2022}
}
TY - JOUR
ID - 65734
AU - Posada Aguirre, Nelson Camilo - Hladík, Jan - Stuchlík, Zdeněk
PY - 2022
TI - New interior model of neutron stars
JF - Physical Review D
VL - 105
IS - 10
SP - "104020-1"-"104020-10"
EP - "104020-1"-"104020-10"
SN - 24700010
KW - neutron stars;Tolman VII solution
KW - tidal Love number;tidal deformability
UR - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.105.104020
N2 - The Tolman VII solution is considered by some as one of the few analytical solutions to Einstein???s equations, which describes approximately well the interior of neutron stars (NSs). This solution is characterized by the mass M, radius R, and an energy density that varies quadratically with the radial coordinate r. Recently, Jiang and Yagi proposed a modification of this solution, the so-called modified Tolman VII (MTVII) solution, by introducing an additional quartic term to the energy density radial profile. The MTVII solution is an approximate solution to Einstein???s equation, which includes a new parameter ?? that allows the solution to have a better agreement with the energy density profiles for realistic NSs. Here we consider the MTVII solution, showing that for certain values of the parameter ?? and compactness C this solution manifests a region of negative pressure near the surface which leads to negative values of the tidal Love number. To alleviate these drawbacks, we introduce an exact version of the MTVII solution obtained by solving numerically Einstein???s equations for the MTVII energy density profile. As an application of our new exact MTVII (EMTVII) solution, we calculate the tidal Love number and tidal deformability, as a function of C, for different values of the parameter ??. We find that the EMTVII solution predicts a positive tidal Love number for the whole range of allowed values of parameters ??C; ????, in agreement with previous results for realistic NSs.
ER -
POSADA AGUIRRE, Nelson Camilo, Jan HLADÍK a Zdeněk STUCHLÍK. New interior model of neutron stars. \textit{Physical Review D}. 2022, roč.~105, č.~10, s.~''104020-1''-''104020-10'', 10 s. ISSN~2470-0010. Dostupné z: https://dx.doi.org/10.1103/PhysRevD.105.104020.
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