Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity

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15m
IIT Guwahati

IIT Guwahati

Oral Classical & Quantum Gravity Classical & Quantum Gravity

Speaker

Rituparna Mandal (University of Hyderabad)

Description

In this work, we have studied the anisotropic Bianchi type-I cosmological model at late times, taking into account quantum gravitational corrections in the formalism of the exact renormalization group flow of the effective average action for gravity.
The cosmological evolution equations are derived by including the scale
dependence of Newton’s constant G and cosmological constant Λ. We have
considered the solutions of the flow equations for G and Λ at next to leading order in the infrared cutoff scale. Using these scale dependent G and Λ in Einstein equations for the Bianchi-I model, we have obtained the scale factors in different directions. It is shown that the scale factors eventually evolve into FLRW universe for known matter like radiation. However, for dust and stiff matter we find that the universe need not evolve to the FLRW cosmology in general, but can also show Kasner type behaviour.

Reference : Rituparna Mandal, Sunandan Gangopadhyay, Amitabha Lahiri, “Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity”, Classical and Quantum Gravity, 37, 065012 (2020).

Email drimit.ritu@gmail.com
Affiliation University of Hyderabad

Author

Rituparna Mandal (University of Hyderabad)

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