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gr-qc2023★ 2 cited
Lagrangian Formulation of the Raychaudhuri Equation in Non-Riemannian Geometry
Anish Agashe
The Raychaudhuri equation for a congruence of curves in a general non-Riemannian geometry is derived. A formal connection is established between the expansion scalar and the cross-…
gr-qc2023
Spherical and Plane Symmetric Solutions in Macroscopic Gravity
Anish Agashe, Mustapha Ishak
The theory of macroscopic gravity provides a formalism to average the Einstein field equations from small scales to largest scales in space-time. It is well known that averaging is…
gr-qc2023★ 5 cited
Kinematics in Metric-Affine Geometry
Anish Agashe
In a given geometry, the kinematics of a congruence of curves is described by a set of three quantities called expansion, rotation, and shear. The equations governing the evolution…