Moumita Bose Escapenow 25112021done4657 Min Better May 2026

The study of geodesic motion in curved spacetime provides critical insights into the stability and causal structure of gravitational solutions. In this paper, we analyze the conditions under which test particles can escape the gravitational pull of exotic compact objects. By applying the effective potential method to modified gravity backgrounds, we determine the critical energy thresholds required for escape trajectories. Our results suggest that modifications to the Einstein-Hilbert action significantly alter the capture radius of black holes.

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We define the parameter space for escape trajectories. By plotting the effective potential for various angular momenta ($L$), we identify the "turning points." The study of geodesic motion in curved spacetime

Our analysis shows that in Case 2, the effective potential barrier is lower, allowing for a broader range of energies to result in an escape trajectory. This implies that "escape" is more probable in high-energy regime modifications. Our analysis shows that in Case 2, the