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Gödel solution in modified gravity

Departamento de Física, Universidade Federal da Paraíba Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil *; Instituto de Física, Universidade Federal de Alagoas CEP, 57072-970, Maceió, Alagoas, Brazil
Physical review D: Particles and fields 07/2009; 79(12). DOI: 10.1103/PHYSREVD.79.124039

ABSTRACT We consider the modified gravity whose action represents itself as a sum of the usual Einstein-Hilbert action and the gravitational Chern-Simons term and show that the Gödel metric solves the modified equations of motion, thus proving that the closed timelike curves whose presence is characteristic for the Gödel solution are not forbidden in the case of the Chern-Simons modified gravity as well.

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