Jul 5 – 10, 2021
Europe/Rome timezone

Dynamics of Quadratic Gravity in Spherical Symmetry

Jul 5, 2021, 6:10 PM
20m
Talk in the parallel session Numerical Relativity and Gravitational Wave Observations Numerical Relativity and Gravitational Wave Observations

Speaker

Hyun Lim (Los Alamos National Laboratory)

Description

We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the evolution system into quasi-linear form (ii) the Cartoon method to reduce to spherical symmetry in keeping with harmonic gauge, and (iii) order-reduction to 1st-order (in time) by means of introducing auxiliary variables. Well-posedness of the respective initial-value problem is numerically confirmed by evolving randomly perturbed flat-space and black-hole initial data. Our study serves as a proof-of-principle for the possibility of stable numerical evolution in the presence of higher derivatives. We also discuss physically (un)stable branches of black holes in quadratic gravity.

Primary author

Hyun Lim (Los Alamos National Laboratory)

Co-author

Dr Aaron Held (Imperial College London)

Presentation materials

There are no materials yet.