Ronald Kantowski

The Effects of Inhomogeneities on Evaluating the Deceleration Parameter Q 0

Analytic expressions for distance-redshift relations which have been corrected for the effects of some inhomogeneities in the Friedmann-Robertson-Walker (FRW) mass density are used to illustrate the significance of inhomogeneities on a determination of

The Effects of Inhomogeneities on Evaluating the Mass Parameter Ωm and the Cosmological Constant Λ

q_0

Distance-Redshift in Inhomogeneous Ω0 = 1 Friedmann-Lemaître-Robertson-Walker Cosmology

made by using Type Ia supernovae. The value of

Distance-Redshift Relations in Inhomogeneous Friedmann-Lemaître-Robertson-Walker Cosmology

q_0

GRAVITATIONAL LENSING CORRECTIONS IN FLAT ΛCDM COSMOLOGY

inferred from a given set of observations depends on the fractional amount of matter in inhomogeneities and is up to 50 percent larger than that obtained by using the standard Mattig

Including absorption in Gordon's optical metric

m

Effects of Kerr Strong Gravity on Quasar X-ray Microlensing

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Steps for solving the radiative transfer equation for arbitrary flows in stationary space-times

z

The eta function in Chern-Simons field theory

result for pure dust FRW models.

Steps for Solving the Transfer Equation for Arbitrary Flows in Stationary Spacetimes

Analytic expressions for distance-redshift relations that have been corrected for the effects of inhomogeneities in the Friedmann-Lemaitre-Robertson-Walker (FLRW) mass density are given in terms of Heun functions and are used to illustrate the significance of inhomogeneities on a determination of the mass parameter Ωm and the cosmological constant Λ. The values of these parameters inferred from a given set of observations depend on the fractional amount of matter in inhomogeneities and can significantly differ from those obtained by using the standard magnitude-redshift (m-z) result for pure dust FLRW models. As an example, a determination of Ωm made by applying the homogeneous distance-redshift relation to SN 1997ap at z = 0.83 could be as much as 50% lower than its true value.