143 citations · 395 across the 9 of their papers we have counts for
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Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
Christian Heinicke, Friedrich W. Hehl, .
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste)…
Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
Christian Heinicke, Peter Baekler, Friedrich W. Hehl
We show that the Einstein-aether theory of Jacobson and Mattingly (J&M) can be understood in the framework of the metric-affine (gauge theory of) gravity (MAG). We achieve this by…
The Cotton tensor in Riemannian spacetimes
A. Garcia, F. W. Hehl, C. Heinicke +1
Recently, the study of three-dimensional spaces is becoming of great interest. In these dimensions the Cotton tensor is prominent as the substitute for the Weyl tensor. It is confo…
Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
Alberto A. Garcia, Friedrich W. Hehl, Christian Heinicke +1
In (1+2)-dimensional Poincaré gauge gravity, we start from a Lagrangian depending on torsion and curvature which includes additionally {\em translational} and {\em Lorentzian} Cher…
Computer algebra in gravity
Christian Heinicke, Friedrich W. Hehl
We survey the application of computer algebra in the context of gravitational theories. After some general remarks, we show of how to check the second Bianchi-identity by means of…
The Einstein 3-form G_a and its equivalent 1-form L_a in Riemann-Cartan space
Christian Heinicke
The definition of the Einstein 3-form G_a is motivated by means of the contracted 2nd Bianchi identity. This definition involves at first the complete curvature 2-form. The 1-form…