41 citations · 203 across the 40 of their papers we have counts for
7 papers · 1 filter
Nonstandard general relativity III: The Kerr class
Günter Scharf
We revisit the Kerr metric in Boyer-Lindquist coordinates and construct the corresponding class of nonstandard solutions of Einstein's equations. These solutions can be used to des…
Nonstandard general relativity II
Günter Scharf
We study Einstein's equations with matter in hydrostatic equilibrium in the nonstandard gauge which was recently investigated in the vacuum case. We obtain spherically symmetric so…
Against geometry: Nonstandard general relativity
Günter Scharf
We show that the Schwarzschild solution can be embedded in a class of nonstandard solutions of the vacuum Einstein's equations with arbitrary rotation curves. These nonstandard sol…
Is dark matter a phantom ?
Günter Scharf
We show that Einstein's equations in a non-standard gauge have vacuum solutions with an asymptotically flat rotation curve as it is observed in the dark halos of galaxies. Introduc…
Dark matter in galaxies according to the tensor-four-scalars theory III
Günter Scharf
We continue the study of the tensor-four-scalars theory which is a modification of general relativity. We include normal matter by applying the displace, cut, and reflect method to…
From massive gravity to dark matter density II
G. Scharf
As previously observed the massless limit of massive gravity leads to a modification of general relativity. Here we study spherically symmetric solutions of the modified field equa…