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gr-qc2023
A unified treatment of the redshift, the Doppler effect, and the time dilation in general relativity
Masumi Kasai
We present a unified treatment of the gravitational and cosmological redshift, the Doppler effect due to the moving observer or light source, and the time dilation in the gravitati…
gr-qc2023
The gauge-invariant formulation of the local expansion rate driven by the local average density in an inhomogeneous universe
Masanori Tomonaga, Masumi Kasai, Toshifumi Futamase
The Hubble tension casts a blight on the standard cosmology. As a possible solution to the problem, the local variation of the expansion rate has been proposed where the spatial av…