Albareti, D.López Maroto, AntonioPrada, Francisco2023-06-172023-06-172018-06-212470-001010.1103/PhysRevD.97.125017https://hdl.handle.net/20.500.14352/12243© The Authors, 2018. This work has been supported by the Spanish MICINNs Consolider-Ingenio 2010 Programme under grant MultiDark CSD2009-00064, by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa SEV-2016-0597 and MINECO grants FIS2014-52837-P, FIS2016- 78859-P(AEI/FEDER, UE), AYA-2012-31101 and AYA2014-60641-C2-1-P. FDA acknowledges financial support from ‘la Caixa’-Severo Ochoa doctoral fellowship.Finite-temperature corrections to the effective potential and the energy-momentum tensor of a scalar field are computed in a perturbed Minkoswki spacetime. We consider the explicit mode decomposition of the field in the perturbed geometry and obtain analytical expressions in the nonrelativistic and ultrarelativistic limits to first order in scalar metric perturbations. In the static case, our results are in agreement with previous calculations based on the Schwinger-DeWitt expansion which indicate that thermal effects in a curved spacetime can be encoded in the local Tolman temperature at leading order in perturbations and in the adiabatic expansion. We also study the shift of the effective potential minima produced by thermal corrections in the presence of static gravitational fields. Finally, we discuss the dependence on the initial conditions set for the mode solutions.engAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1103/PhysRevD.97.125017https://journals.aps.orghttps://arxiv.org/abs/1805.02326open access53Curved space: FieldUniverseFísica-Modelos matemáticos