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We obtain the quasinormal modes for tensor perturbations of Gauss-Bonnet (GB)black holes in $d=5, 7, 8$ dimensions and vector perturbations in $d = 5, 6, 7$and 8 dimensions using third order WKB formalism. The tensor perturbation forblack holes in $d=6$ is not considered because of the fact that it is unstableto tensor mode perturbations. In the case of uncharged GB black hole, for bothtensor and vector perturbations, the real part of the QN frequency increases asthe Gauss-Bonnet coupling ($\alpha'$) increases. The imaginary part firstdecreases upto a certain value of $\alpha'$ and then increases with $\alpha'$for both tensor and vector perturbations. For larger values of $\alpha'$, theQN frequencies for vector perturbation differs slightly from the QN frequenciesfor tensorial one. It has also been shown that as $\alpha' \to 0$, thequasinormal mode frequency for tensor and vector perturbation of theSchwarzschild black hole can be obtained. We have also calculated thequasinormal spectrum of the charged GB black hole for tensor perturbations.Here we have found that the real oscillation frequency increases, while theimaginary part of the frequency falls with the increase of the charge. We alsoshow that the quasinormal frequencies for scalar field perturbations and thetensor gravitational perturbations do not match as was claimed in theliterature. The difference in the result increases if we increase the GBcoupling.Comment: 17 pages, 11 figures, change in title and abstract, new equations and  results added for QN frequencies for vector perturbations, new referencees  adde

Quasinormal modes for tensor and vector type perturbation of Gauss Bonnet black hole using third order WKB approach