We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein’s gravitational equations. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer. For a general inhomogeneous solution, it is ...

This paper analyzes the spatial clustering of galaxies in the Canada-France Redshift Survey (CFRS). We have used the projected two-point correlation function, w(rp), to investigate the spatial distribution of the 591 galaxies with secure redshifts between 0 ≤ z ≤ 1.3 in the five CFRS fields. The slope of the two-point correlation function for the sample as a whole is γ = 1.64 ± 0.05, very simil...

We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein’s gravitational equations. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer. For a general inhomogeneous solution, it is ...

We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein’s gravitational equations. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer and a deceleration parameter that can differ ...

In a number of previous papers of the first and third authors, caustics, cut-loci, spheres, and wave fronts of a system of sub-Riemannian geodesics emanating from a point q0 were studied. It turns out that only certain special arrangements of classical Lagrangian and Legendrian singularities occur outside q0. As a consequence of this, for instance, the generic caustic is a globally stable objec...

We consider a cosmology in which a spherically symmetric large scale enhancement or a void are described by an inhomogeneous metric and gravitational equations, including matter pressure and a cosmological constant. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer and a decelerat...

Genetic factors have been estimated to account for about 25% of the variation in an adult's life span. The complement component C4 with the isotypes C4A and C4B is an effector protein of the immune system, and differences in the overall C4 copy number or gene size (long C4L; short C4S) may influence the strength of the immune response and disease susceptibilities. Previously, an association bet...

We consider a cosmology in which a spherically symmetric large scale enhancement or a void are described by an inhomogeneous metric and gravitational equations, including matter pressure and a cosmological constant. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer and a decelerat...

We consider a cosmology in which a spherically symmetric large scale inhomogeneous enhancement or a void are described by an inhomogeneous metric and Einstein’s gravitational equations. For a flat matter dominated universe the inhomogeneous equations lead to luminosity distance and Hubble constant formulas that depend on the location of the observer. For a general inhomogeneous solution, it is ...

Redshifts are given for 50 brightest cluster galaxies, extending as far as z = 0.75; BVR photometry is given for 33 clusters. These data are combined with earlier data of a similar kind in order to investigate several effects. The measured B V and V R colors as a function of redshift are well represented by Whitford's standard-galaxy K corrections, as far as these are defined (to · z = 0.28 in ...