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In this work we make use of the generalized zeta function technique toinvestigate the vacuum energy, temperature corrections and heat kernelcoefficients associated with a scalar field under a quasiperiodic condition ina $(D+1)$-dimensional conical spacetime. In this scenario we find that therenormalized vacuum energy, as well as the temperature corrections, are bothzero. The nonzero heat kernel coefficients are the ones related to the usualEuclidean divergence, and also to the nontrivial aspects of thequaisperiodically identified conical spacetime topology. An interesting resultthat arises in this configuration is that for some values of the quasiperiodicparameter, the heat kernel coefficient associated with the nontrivial topologyvanishes. In addition, we also consider the scalar field in a$(D+1)$-dimensional spacetime formed by the combination of a conical and screwdislocation topological defects. In this case, we obtain a nonzero renormalizedvacuum energy density and its corresponding temperature corrections. Again, thenonzero heat kernel coefficients found are the ones related to the Euclideanand nontrivial topology divergences. For $D=3$ we explicitly show, in themassless scalar field case, the limits of low and high temperatures for thefree energy. In the latter, we show that the free energy presents a classicalcontribution.

Vacuum energy, temperature corrections and heat kernel coefficients in $(D + 1)$-dimensional spacetimes with nontrivial topology