## Abstract

For helically symmetric Einstein-Maxwell spacetimes with magnetized perfect fluids, generalized thermodynamic laws - The zeroth law, the constancy of surface gravity and electric potential, and the first law, a variation formula for the Noether charge Q associated with a helical Killing vector - Are derived. Applying Bekenstein and Oron's theory of ideal magnetohydrodynamics (MHD), the first law is written as δQ = 0 for a sequence of equilibrium solutions that models adiabatic binary inspiral due to gravitational wave emission. We introduce a possible formulation for computing such magnetized binary neutron stars and black holes in close circular orbits in quasi- equilibriums, and a project to develop computer code for such magnetized compact objects the Cocal code - Compact Object CALculator.

Original language | English (US) |
---|---|

Pages | 411-420 |

Number of pages | 10 |

State | Published - 2010 |

Externally published | Yes |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: Sep 21 2010 → Sep 25 2010 |

### Conference

Conference | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
---|---|

Country/Territory | Japan |

City | Kyoto |

Period | 9/21/10 → 9/25/10 |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics