On Lovelock vacuum solution

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The Einstein-GB vacuum equation would however read as G a ​ b + α G ​ B ​ H a ​ b = − Λ ​ g a ​ b G_{ab}+\alpha_{GB}H_{ab}=-\Lambda g_{ab} where α G ​ B \alpha_{GB} is the GB coupling constant. In absence of maatter in higher dimensions, it would perhaps be appropriate to consider only the GB vacuum part H a ​ b = − Λ ​ g a ​ b H_{ab}=-\Lambda g_{ab}

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