Tidal Love numbers of neutron stars

For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k2. Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n~0.5-1.0. The equilibrium stellar model is obtained by numerical integration of the Tolman-Oppenheimer-Volkhov equations. We calculate the linear l=2 static perturbations to the Schwarzschild spacetime following the method of Thorne and Campolattaro. Combining the perturbed Einstein equations into a single second order differential equation for the perturbation to the metric coefficient g_tt, and matching the exterior solution to the asymptotic expansion of the metric in the star's local asymptotic rest frame gives the Love number. Our results agree well with the Newtonian results in the weak field limit. The fully relativistic values differ from the Newtonian values by up to ~24%. The Love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars.Comment: corrected Eqs. (20) and (23) and entries in Table (1

Improving the Single Scalar Consistency Relation

We propose a test of single-scalar inflation based on using the well-measured scalar power spectrum to reconstruct the tensor power spectrum, up to a single integration constant. Our test is a sort of integrated version of the single-scalar consistency relation. This sort of test can be used effectively, even when the tensor power spectrum is measured too poorly to resolve the tensor spectral index. We give an example using simulated data based on a hypothetical detection with tensor-to-scalar ratio $r = 0.01$. Our test can also be employed for correlating scalar and tensor features in the far future when the data is good.Comment: 16 pages, 1 figure, uses LaTeX2e version 2 extensively revised for publicatio

Alien Registration- Brooker, Louie D. (Wade, Aroostook County)

https://digitalmaine.com/alien_docs/32722/thumbnail.jp

Alien Registration- Brooker, Louie D. (Wade, Aroostook County)

https://digitalmaine.com/alien_docs/32722/thumbnail.jp

SUPERMARKET PATRONAGE: AN ANALYSIS OF CUSTOMER COUNTS AMONG OUTLETS WITHIN A GEOGRAPHIC AREA

As new supermarket management tools are introduced, the need for an improved understanding of store patronage is growing. Weekly customer counts for five supermarkets located in a Southeastern metropolitan area covering 261 weeks are analyzed. Descriptive statistics indicate that food shopper patterns vary by outlet. Regression equations are estimated for each location. Results point to store specific relationships. They indicate that evaluation of television and radio ads and double couponing can be quite involved.Consumer/Household Economics,