Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Agradecimentos: G. T. acknowledges support from FAPESP proc. 2014/13120-7 and CNPQ bolsa de produtividade 301996/2014-8. D. M. acknowledges CNPQ for support with the graduate fellowship No. 147435/2014-5. D. M. and G. T. also thank Jorge Noronha, Saso Grozdanov, and Jun Takahashi for discussions and suggestions Abstract: We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We include Navier-Stokes shear and bulk terms, as well as Israel-Stewart relaxation time terms, within this formalism. We show how the inclusion of shear dissipation forces the inclusion of the Israel-Stewart term into the theory, thereby providing an additional justification for the form of this term FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ Aberto