A family of time-symmetric Kaluza-Klein bubble initial data exists with arbitrarily negative ADM energy for fixed bubble and circle sizes.
Dai, A positive mass theorem for spaces with asymptotic SUSY compactification, Commu- nications in Mathematical Physics 244, 335–345 (2004)
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Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles
A family of time-symmetric Kaluza-Klein bubble initial data exists with arbitrarily negative ADM energy for fixed bubble and circle sizes.