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2018

The Raychaudhuri equation in spacetimes with torsion and non-metricity

Iosifidis, Damianos, Tsagas, Christos G., Petkou, Anastasios C.

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We introduce and develop the 1+3 covariant approach to relativity and cosmology to spacetimes of arbitrary dimensions that have nonzero torsion and do not satisfy the metricity condition.

Focusing on timelike observers, we identify and discuss the main differences between their kinematics and those of their counterparts living in standard Riemannian spacetimes.
At the centre of our analysis lies the Raychaudhuri equation, which is the fundamental formula monitoring the convergence/divergence, namely the collapse/expansion, of timelike worldline congruences.
To the best of our knowledge, we provide the most general expression so far of the Raychaudhuri equation, with applications to an extensive range of non-standard astrophysical and cosmological studies.

The Raychaudhuri equation in spacetimes with torsion and non-metricity · Around

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