10th International Conference on Gravitation and Cosmology: New Horizons and Singularities in Gravity (ICGC 2023)

Rindler trajectories and Rindler horizons in the Schwarzschild spacetime

Not scheduled

15m

IIT Guwahati

Oral Classical & Quantum Gravity Classical & Quantum Gravity

Speaker

Kajol Paithankar (Indian Institute of Astrophysics, Bengaluru, India)

Description

We investigate the generalised radial Rindler trajectories and their corresponding Rindler horizons in the background of the Schwarzschild spacetime. In a curved spacetime, a covariant definition for Rindler trajectories is provided in terms of the generalised Letaw-Frenet equations. A generalized Rindler trajectory remains linearly uniformly accelerated throughout its motion with constant scalar curvature and vanishing torsion and hypertorsion. Interestingly, we arrive at a bound on the magnitude of acceleration for Rindler trajectories such that, for acceleration greater than the bound value, the Rindler trajectory always falls into the black hole and the distance of closest approach for the trajectory to turn away from the black hole is always greater than the Schwarzschild radius for all finite boundary data. We further investigate the past and future Rindler horizons using the analytical solutions for the trajectories and discuss their features.

References:
K. Paithankar and S. Kolekar, Phys. Rev. D 99, 064012 (2019).
K. Paithankar and S. Kolekar, Phys. Rev. D 100, 084029 (2019).