Gravitational Larmor formula in higher dimensions
Vitor Cardoso, Marco Cavaglia, Jun-Qi Guo
TL;DR
This paper derives the gravitational Larmor formula in higher-dimensional flat spacetimes, providing explicit results in four and six dimensions to explore effects of extra dimensions on radiation from moving particles.
Contribution
It presents a general derivation of the Larmor formula in higher dimensions and provides explicit solutions for four and six dimensions, extending previous four-dimensional results.
Findings
Extra dimensions influence gravitational radiation patterns.
Explicit formulas for four and six dimensions are derived.
Discussion on potential detection of bulk gravitational waves.
Abstract
The Larmor formula for scalar and gravitational radiation from a pointlike particle is derived in any even higher-dimensional flat spacetime. General expressions for the field in the wave zone and the energy flux are obtained in closed form. The explicit results in four and six dimensions are used to illustrate the effect of extra dimensions on linear and uniform circular motion. Prospects for detection of bulk gravitational radiation are briefly discussed.
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