%0 Journal Article %@nexthigherunit 8JMKD3MGPCW/46KUES5 %@secondarytype PRE PI %@issn 2190-5444 %@dissemination WEBSCI; SCOPUS. %2 sid.inpe.br/mtc-m21c/2021/05.10.15.59.09 %4 sid.inpe.br/mtc-m21c/2021/05.10.15.59 %3 Ludwig2021_Article_ExtendedGravitoelectromagnetis.pdf %8 Apr. %9 journal article %A Ludwig, Gerson Otto, %B European Physical Journal Plus %D 2021 %N 4 %P e465 %T Extended gravitoelectromagnetism. II. Metric perturbation %V 136 %X This article makes the connection between the new gravitoelectromagnetic theory presented in the part I paper and general gravity in its weak formulation. The perturbation in the metric tensor is obtained in terms of the flat-space total energymomentum tensor given by the sum of the consistent fully relativistic fluid and gravitoelectromagnetic field contributions. Expressions for the perturbed metric in the internal (fluid) and external (vacuum) regions are given in terms of the fluid and field variables. This formulation of gravitoelectromagnetism is compatible with the formation of gravitational waves. The geodesic equation is obtained in both the internal and external regions, including new terms neglected in the standard gravitomagnetic formulation. It is shown that the new terms reproduce the anomalous shift of planetary precession, which results from a balance between the gravitoelectric and gravitomagnetic forces. %@area FISMAT %@electronicmailaddress gerson.ludwig@inpe.br %@documentstage not transferred %@group COPDT-CGIP-INPE-MCTI-GOV-BR %@orcid 0000-0003-3035-5796 %@usergroup simone %@resumeid 8JMKD3MGP5W/3C9JHB4 %@affiliation Instituto Nacional de Pesquisas Espaciais (INPE) %@versiontype publisher %@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S} %@doi 10.1140/epjp/s13360-021-01452-6