Perturbative Analysis of Universality and Individuality in Gravitational Waves from Neutron Stars

Abstract

The universality observed in gravitational wave spectra of non-rotating neutron stars is analyzed here. We show that the universality in the axial oscillation mode can be reproduced with a simple stellar model, namely the centrifugal barrier approximation (CBA), which captures the essence of the Tolman VII model of compact stars. Through the establishment of scaled co-ordinate logarithmic perturbation theory (SCLPT), we are able to explain and quantitatively predict such universal behavior. In addition, quasi-normal modes of individual neutron stars characterized by different equations of state can be obtained from those of CBA with SCLPT.

29 pages, 10 figures, submitted to Astrophysical Journal

References in corpus (2)

• A Comprehensive Study of Binary Compact Objects as Gravitational Wave Sources: Evolutionary Channels, Rates, and Physical Properties
• Listening to the Universe with Gravitational-Wave Astronomy

Cited by in corpus (10)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Challenging the Presence of Scalar Charge and Dipolar Radiation in Binary Pulsars
• Multipolar universal relations between f-mode frequency and tidal deformability of compact stars
• Improved Analytic Modeling of Neutron Star Interiors
• Probing the interior of neutron stars with gravitational waves
• Imprints of the nuclear symmetry energy on gravitational waves from the axial w-modes of neutron stars
• Universal Relations and Alternative Gravity Theories
• Determination of the internal structure of neutron stars from gravitational wave spectra
• Slowly rotating Tolman VII solution
• Separation of spacetime and matter in polar oscillations of compact stars