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In this case, only solutions with timelike VEVs exist

Case of λ ̸= 0, λ ̸= ±ξ/2 If Q ̸= 0, ℓ1 ̸= 0, ℓ1 + 2ℓ2 ̸= 0, ℓ1 − 2ℓ2 ̸= 0, to ensure that Eθθ is identically zero, we have (ℓ1 + ℓ2)s = 1, s = c2 1, the only solution i

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New Exact Vacuum Solutions in Extended Bumblebee Gravity

gr-qc · 2026-04-10 · unverdicted · novelty 6.0

Ten new exact vacuum solutions, including black holes with zero entropy, arise in extended bumblebee gravity because varying the action and imposing the vector VEV constraint do not commute.

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  • New Exact Vacuum Solutions in Extended Bumblebee Gravity gr-qc · 2026-04-10 · unverdicted · none · ref 10

    Ten new exact vacuum solutions, including black holes with zero entropy, arise in extended bumblebee gravity because varying the action and imposing the vector VEV constraint do not commute.