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martinbn
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Of course, may be I wasn't clear. My remark simply says that to say ##\partial_t## becomes spacelike int the interior is not enough, one needs to show that no other Killing field is timelike there. What you say is a perfectly good proof why there aren't any other.PeterDonis said:No, there couldn't, because the metric inside is still Schwarzschild (by Birkhoff's theorem), and we already know Schwarzschild has no other Killing fields.