#### Alladi Ramakrishnan Hall

#### Loop Quantum Stars : Modifying stars using equations of Loop Quantum Cosmology

#### S. Kalyana Rama

##### IMSc

*Stars develop singularities if they become massive. For illustration:*

Take a static spherically symmetric star of constant density. Its

central pressure becomes infinite if its mass is increased to a

certain value. Can such singularities be resolved? If so, how?

An analogy can be made with the big bang singularity in cosmology.

There, Loop Quantum Cosmology quantises gravity and resolves the

singularity.

For stars, we rewrite the equations so that they resemble cosmology

equations. They can then be `quantum modified'. The resulting stars

will be non singular. An `image star' appears now beyond the central

region of maximal pressures in the original star. This is evocative of

a bouncing universe in Loop Quantum Cosmology.

(Regrouping certain terms in the equations from the curvature sector

into the matter sector was important in arriving at the

modifications.)

Done