IX. Private International Law

Cornish, William; Lobban, Michael; Smith, Keith

doi:10.1093/acprof:oso/9780199258819.003.0009

Cited by 4 publications

(8 citation statements)

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“…4 Ref. [73] has verified that this time-domain implementation of a Fisher analysis produces very similar results to the standard frequency-domain implementation, when the Fourier transform of the waveform in the latter is treated in a stationary-phase approximation.…”

Section: Effective-one-body Estimatesmentioning

confidence: 77%

Constraining the evolutionary history of Newton’s constant with gravitational wave observations

2010

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Space-borne gravitational wave detectors, such as the proposed Laser Interferometer Space Antenna, are expected to observe black hole coalescences to high redshift and with large signal-to-noise ratios, rendering their gravitational waves ideal probes of fundamental physics. The promotion of Newton's constant to a time-function introduces modifications to the binary's binding energy and the gravitational wave luminosity, leading to corrections in the chirping frequency. Such corrections propagate into the response function and, given a gravitational wave observation, they allow for constraints on the first time-derivative of Newton's constant at the time of merger. We find that space-borne detectors could indeed place interesting constraints on this quantity as a function of sky position and redshift, providing a constraint map over the entire range of redshifts where binary black hole mergers are expected to occur. A LISA observation of an inspiral event with redshifted masses of 10 4 − 10 5 solar masses for three years should be able to measureĠ/G at the time of merger to better than 10 −11 yr −1 .

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Section: Effective-one-body Estimatesmentioning

confidence: 77%

Constraining the evolutionary history of Newton’s constant with gravitational wave observations

2010

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“…[This automatically solves Eq. (13).] Using the Lorentz gauge, A µ ;µ = 0, one can derive a system of second-order linear hyperbolic differential equations for A µ and h µν , which is consistent with the constraint equations [i.e., with Eq.…”

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confidence: 82%

“…Equation (7) is automatically satisfied by the skew part of (14), and we only need to consider Eq. (13). A straightforward calculation, based on Eq.…”

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confidence: 99%

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On the Formation of Black Holes in Nonsymmetric Gravity

Burko

Ori

1995

Phys. Rev. Lett.

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It has been recently suggested that the nonsymmetric gravitational theory (NGT) is free of black holes. Here we study the linear version of NGT. We find that even with spherical symmetry the skew part of the metric is generally nonstatic. In addition, if the skew field is initially regular, it will remain regular everywhere and, in particular, at the horizon. Therefore, in the fully nonlinear theory, if the initial skew field is sufficiently small, the formation of a black hole is to be anticipated.

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“…The spectra I s (K * , y, y) are given in Eqs. (67) and (68). We recover the same behaviour as in section 2.3.…”

Section: The Gravitational Wave Spectrummentioning

confidence: 96%

The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition

Caprini

Durrer

Servant

2009

J. Cosmol. Astropart. Phys.

443

486

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We analytically derive the spectrum of gravitational waves due to magneto-hydrodynamical turbulence generated by bubble collisions in a first-order phase transition. In contrast to previous studies, we take into account the fact that turbulence and magnetic fields act as sources of gravitational waves for many Hubble times after the phase transition is completed. This modifies the gravitational wave spectrum at large scales. We also model the initial stirring phase preceding the Kolmogorov cascade, while earlier works assume that the Kolmogorov spectrum sets in instantaneously. The continuity in time of the source is relevant for a correct determination of the peak position of the gravitational wave spectrum. We discuss how the results depend on assumptions about the unequal-time correlation of the source and motivate a realistic choice for it. Our treatment gives a similar peak frequency as previous analyses but the amplitude of the signal is reduced due to the use of a more realistic power spectrum for the magneto-hydrodynamical turbulence. For a strongly first-order electroweak phase transition, the signal is observable with the space interferometer LISA. * 5.9 for turbulence and K peak * 7

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IX. Private International Law

Cited by 4 publications

References 0 publications

Constraining the evolutionary history of Newton’s constant with gravitational wave observations

Constraining the evolutionary history of Newton’s constant with gravitational wave observations

On the Formation of Black Holes in Nonsymmetric Gravity

The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition

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