Raychaudhuri Equation in the Context of a Collapsing Fermionic Distribution Incorporating Effective Four-Fermi Interaction

Not scheduled
15m
IIT Guwahati

IIT Guwahati

Oral Classical & Quantum Gravity Classical & Quantum Gravity

Speaker

Dr Shibendu Gupta Choudhury (S. N. Bose National Centre for Basic Sciences)

Description

The intrinsic angular momentum of fermions can generate torsion in spacetime. This gives rise to an effective four-fermi interaction that fermions experience within a fermionic distribution. This interaction is expected to become significant when densities start to grow. In this contribution, I will discuss some findings from our ongoing exploration regarding the role of this interaction in a gravitationally collapsing fermionic distribution. Our specific aim is to explore if this interaction can provide a repulsive contribution and prevent the formation of the final singularity. We consider a collapsing distribution of electrons which incorporates both chiralities. We use the Raychaudhuri equation and the focusing condition for congruences to carry out our investigation. Using simplified yet reasonable assumptions, we establish that a repulsive contribution arises depending on how torsion couples with different chiralities. Also, the effect of the interaction starts to dominate as the collapse proceeds, providing a means to avoid the final singularity formation.

Email sguptachoudhury375@gmail.com
Affiliation S. N. Bose National Centre for Basic Sciences, India

Authors

Dr Shibendu Gupta Choudhury (S. N. Bose National Centre for Basic Sciences) Prof. Amitabha Lahiri (S. N. Bose National Centre for Basic Sciences)

Co-author

Mr Sagar Kumar Maity (S. N. Bose National Centre for Basic Sciences)

Presentation materials

There are no materials yet.