(B12) 15 Hence, − 2ρ0 R2eI1 (α′(ρ0))2 = − 35/2 Q3 i=1 (−ri)qi b 23/2R2ρ4 0d2 1 + O b−1/2

(B10) Thus, p1 = q1 + O b−1/2 , p 2 = q2 + O b−1/2 , p 3 = q3 + O b−1/2 , (B11a) p4 = 5 2 + O b−1/2 , p 5 = 5 2 + O b−1/2 , (B11b) where qi are given by qi = 48r2 i + 4(8ρ0 + 8d +

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Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles

hep-th · 2025-07-29 · accept · novelty 7.0

A family of time-symmetric Kaluza-Klein bubble initial data exists with arbitrarily negative ADM energy for fixed bubble and circle sizes.

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Arbitrarily Negative Energy for Small Kaluza-Klein Bubbles hep-th · 2025-07-29 · accept · none · ref 3
A family of time-symmetric Kaluza-Klein bubble initial data exists with arbitrarily negative ADM energy for fixed bubble and circle sizes.

(B12) 15 Hence, − 2ρ0 R2eI1 (α′(ρ0))2 = − 35/2 Q3 i=1 (−ri)qi b 23/2R2ρ4 0d2 1 + O b−1/2

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