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  1. Does quantum field theory accept gravitational wave? As quantum field theory is flat spacetime theory, I wonder whether gravitational wave would be true.

  2. Does contemporary string theory variants accept gravitational wave?

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Ask one question per "question". –  dmckee Jun 4 '12 at 4:01
yes, all modern theories accept gravitational waves. I was going to write this as an answer, but the question is too broad. What problem do you have with gravitational waves? –  Ron Maimon Jun 4 '12 at 5:03
@RonMaimon Gravitational waves are yet to be discovered... so that's why I am asking this question. –  Albert Schewartz Jun 4 '12 at 5:07
@AlbertSchewartz: It depends on what you mean "discovered". Binary pulsars emit energy in a way completely consistent with gravitational waves going out and carrying away the energy. In this weak sense, they are already detected. The only reason it's weak is because we can't see the pulsars directly, only infer their orbit from their chirps, so we don't know for sure for sure that they aren't losing energy by gas-friction or some other way (although it would require conspiracy to reproduce the GR answer). This is good enough to convince me, but it might not be enough for you, I don't know. –  Ron Maimon Jun 4 '12 at 6:05

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