Abstract
It is proved that runaway solutions persist if Abraham's force −m \((\ddot x - \tau \dddot x)\) is generalised by adding to it afinite number of terms which are linear in higher derivatives of\(\dddot x\). The implication of this result to Eliezer's relativistic generalisation of the Lorentz-Dirac equation is discussed.
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Worked supported by the Minerva Foundation.
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Daboul, J. On generalising Abraham-Lorentz equation. Int J Theor Phys 11, 145–147 (1974). https://doi.org/10.1007/BF01809564
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DOI: https://doi.org/10.1007/BF01809564