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Curvature corrections to the Yukawa potential in Tolman metrics
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DOI：10.1088/1361-6382/ae590b.png)
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Abstract
En 中文
This work investigates curvature-induced modifications to the Yukawa potential in static, spherically symmetric spacetimes described by Tolman metrics, focusing on their implications for compact stellar objects, with particular application to solutions IV and VI. Motivated by the interplay of quantum interactions and strong gravitational fields in systems like neutron stars, we derive explicit corrections to the Yukawa potential for these metrics based on recent work. Revisiting the previous result, contrary to what was found, that curvature corrections break the interacting potential radial symmetry near a highly charged black hole, we show that Tolman metric corrections still provide the same symmetry in the local inertial frame. Numerical estimates for astrophysical objects reveal energy shifts of the order of for the solution IV. The Tolman VI solution, while singular at the center, yields comparable corrections for most of the fluid sphere radius. A detailed analysis of the repulsive or attractive feature of the curvature corrections for a local observer is done for each scenario. Despite providing small corrections, these results highlight the role of spacetime geometry in shaping quantum interactions and provide a foundation for future studies of nuclear interactions within the context of relativistic stars.
Keywords:
Yukawa potential
Tolman metrics
spacetime curvature
relativistic stars
quantum interactions
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3.7
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1.3W
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3.0W
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