## Gravitational Wave Astrophysics with Pulsar Timing ArraysThis Ph.D. thesis from the University of Birmingham UK opens new research avenues in the use of Pulsar Timing Arrays (PTAs) to study populations of super-massive black hole binaries through gravitational-wave observations. Chiara Mingarelli's work has shown for the first time that PTAs can yield information about the non-linear dynamics of the gravitational field. This is possible because PTAs capture, at the same time, radiation from the same source emitted at stages of its binary evolution that are separated by thousands of years. Dr. Mingarelli, who is the recipient of a Marie Curie International Outgoing Fellowship, has also been amongst the pioneers of the technique that will allow us to probe the level of anisotropy of the diffuse gravitational-wave background radiation from the whole population of super-massive black hole binaries in the Universe. Indeed, future observations will provide us with hints about the distribution of galaxies harboring massive black holes and insights into end products of hierarchical mergers of galaxies. |

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### Contents

1 Introduction | 1 |

2 Characterizing Gravitational Wave Stochastic Background Anisotropy with Pulsar Timing Arrays | 48 |

3 Effect of Small Pulsar Distance Variations in Stochastic GW Background Searches with PTAs | 71 |

4 Observing the Dynamics of Supermassive Black Hole Binaries with Pulsar Timing Arrays | 91 |

5 Conclusions | 105 |

A Derivation of the Generalized Overlap Reduction Functions | 109 |

B Features of the Overlap Reduction Functions | 117 |

### Other editions - View all

Gravitational Wave Astrophysics with Pulsar Timing Arrays Chiara M. F. Mingarelli No preview available - 2015 |

### Common terms and phrases

Äab.f analysis angular distribution angular separation Anholm Astron Astrophys Astrophysics black hole binaries Burgay Burke-Spolaor C.M.F. Mingarelli Classical Quantum Gravity computational frame contribution correlated phase changes cosÂ cosmic Demorest detection dipole distance Earth Earth-term equations evolution F.A. Jenet frequency G.B. Hobbs gravitational radiation gravitational wave gravitational wave background GW energy density Haasteren Hellings and Downs integral isotropic J.P.W. Verbiest Jenet Kramer Lazio level of anisotropy Lommen magnitude mass massive black hole metric perturbation millisecond pulsars multipole moments N.D.R. Bhat observations orbital overlap reduction functions parameter Phys Possenti precession pulsar pairs pulsar term pulsar timing arrays quadrupole Quantum Gravity R.D. Ferdman R.N. Manchester radiation wavelengths radio redshift separation of pulsar Sesana Sidery Siemens sinÂ SMBH SMBHBs spherical harmonic spins stochastic background stochastic gravitational wave stochastic GW background Straten strong pulsar term supermassive black hole Vecchio Volonteri