Second-order self-force calculation of gravitational binding energy

Nearly 7 years in the making, we have finally finished our first paper describing our second-order gravitational self-force results:

Second-order self-force calculation of gravitational binding energy
Adam Pound, Barry Wardell, Niels Warburton, Jeremy Miller

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical, but calculations of these effects have been beset by obstacles. In this letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.

Check out our paper on arXiv.

Einstein’s Ears: The new astronomy of gravitational waves

Prof. Scott A. Hughes is currently visiting the Relativity group at UCD as part of the university’s visiting professor programme. During his visit, Prof. Hughes will give a public talk on the exciting new science made possible by the advent of gravitational wave astronomy. Prof. Hughes is a highly engaging public speaker and I strongly encourage anyone interested in gravitational waves to addend. Attendance is free but we request that you must register on eventbrite for a ticket if you plan to come.

Dublin School on Gravitational Wave Source Modelling

The Dublin School on Gravitational Wave Source Modelling aims to teach the next generation of gravitational wave researchers the skills they will need for interpreting gravitational wave signals detected by the LISA mission. Further aims are to cover a broad range of topics in gravitational physics, to give newly arrived and early career researchers a chance to interact with each other, and to meet the leaders in their field.

The summer school will be hosted by the School of Mathematics and Statistics at University College Dublin. It will run from 11th to 22nd June 2018, and will consist of ten days of lectures and hands-on workshops, with a weekend off in the middle to explore Dublin and engage in social activities.

There is no registration fee and anyone can participate. However, please do register so that we can ensure that ample space is available for all participants. Participants are expected to cover their own travel and accommodation costs. A limited number of affordable rooms in campus accommodation have been reserved on a first-come first-served basis. There may also be limited student bursaries; if available, these will be announced at a later date.

The summer school is supported by the GWverse COST Action. Students from COST member nations are particularly encouraged to attend.

Gravitational waves from a binary black hole merger

Yesterday was an incredibly exciting day for everyone in the gravitational physics community. After months of rumours, the LIGO collaboration made the spectacular announcement that they have achieved the first ever direct detection of gravitational waves. It’s difficult to put into words the enormity of their accomplishment. It’s a shoo-in for a Nobel prize (probably for LIGO’s three founders Kip ThorneRonald Drever and Rai Weiss) and has been widely heralded as one of the biggest scientific breakthroughs of our time. As if that wasn’t enough, the gravitational waves – which were detected by both LIGO detectors on September 14, 2015 at 09:51 UTC –  were generated over a billion years ago by the merger of a  binary black hole system. So in one go the discovery has made two huge scientific breakthroughs: it has confirmed Einstein’s prediction that gravitational waves exist and can be detected on Earth; and it has confirmed that black holes exist and can appear in binary pairs.

It was particularly impressive that the announcement came along with the simultaneous publication of a peer-reviewed paper in Physical Review Letters (also on arXiv), along with 12 other papers giving all of the nittygritty technical details and a full release of the data from the detection, which has been given the name GW150914. The real excitement now is what’s next. Detecting gravitational waves was just the start; as LIGO continues to collect data and its sensitivity is improved we can expect  to see gravitational waves from a whole host of other sources including binary neutron stars, supernovae and relic gravitational waves from the first instants after the big bang.

Looking further into the future, the next grand challenge will be to take gravitational-wave detection into space, where it is unaffected by the low-frequency noise encountered on the Earth. We have already made the first steps towards this challenging goal: the LISA pathfinder technology demonstrator mission was recently launched into space and is set to begin tests within the next few weeks. This will be followed up by the European Space Agency’s eLISA mission, which will take three LIGO-like interferometers, scale the arm lengths up from 4km to several million kilometres, and launch them into space.  The mission will open gravitational wave astronomy up to a whole host of new sources including super-massive black hole binaries and extreme-mass-ratio inspirals.

For more details on yesterday’s announcement, you can watch the full thinglisten to the signal they found, and view some
movies produced by the SXS collaboration using numerical relativity simulations.

Science with the space-based interferometer eLISA. I: Supermassive black hole binaries

The preprint of my latest paper with Antoine Klein, Enrico Barausse, Alberto Sesana, Antoine Petiteau, Emanuele Berti, Stanislav Babak, Jonathan Gair, Sofiane Aoudia, Ian Hinder and Frank Ohme is now available on the arXiv as 1511.05581, and has also been published as Phys. Rev. D 93, 024003 (2016). The abstract for the article is below:

We compare the science capabilities of different eLISA mission designs, including four-link (two-arm) and six-link (three-arm) configurations with different arm lengths, low-frequency noise sensitivities and mission durations. For each of these configurations we consider a few representative massive black hole formation scenarios. These scenarios are chosen to explore two physical mechanisms that greatly affect eLISA rates, namely (i) black hole seeding, and (ii) the delays between the merger of two galaxies and the merger of the black holes hosted by those galaxies. We assess the eLISA parameter estimation accuracy using a Fisher matrix analysis with spin-precessing, inspiral-only waveforms. We quantify the information present in the merger and ringdown by rescaling the inspiral-only Fisher matrix estimates using the signal-to-noise ratio from non-precessing inspiral-merger-ringdown phenomenological waveforms, and from a reduced set of precessing numerical relativity/post-Newtonian hybrid waveforms. We find that all of the eLISA configurations considered in our study should detect some massive black hole binaries. However, configurations with six links and better low-frequency noise will provide much more information on the origin of black holes at high redshifts and on their accretion history, and they may allow the identification of electromagnetic counterparts to massive black hole mergers.

City of Physics

City of Physics Throughout November, the City of Physics project is  gathering scientists, artists and designers together to bring physics to every corner of Dublin city.  There has been a live projection of the sun, physics-themed talks, physics-themed stand-up comedy, a physics-themed ad campaign, and more to come. There’s also a blog with daily posts covering all sorts of scenarios where physics appears. I had the privilege of writing a blog entry, and it has appeared as today’s post.

Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations

The preprint of my latest paper with Niels Warburton is now available on the arXiv. The abstract for the article is below:

With a view to developing a formalism that will be applicable at second perturbative order, we devise a new practical scheme for computing the gravitational self-force experienced by a point mass moving in a curved background spacetime. Our method works in the frequency domain and employs the effective-source approach, in which a distributional source for the retarded metric perturbation is replaced with an effective source for a certain regularized self-field. A key ingredient of the calculation is the analytic determination of an appropriate puncture field from which the effective source and regularized residual field can be calculated. In addition to its application in our effective-source method, we also show how this puncture field can be used to derive tensor-harmonic mode-sum regularization parameters that improve the efficiency of the traditional mode-sum procedure. To demonstrate the method, we calculate the first-order-in-the-mass-ratio self-force and redshift invariant for a point mass on a circular orbit in Schwarzschild spacetime.

Update: The paper has now been published as  Phys. Rev. D92, 084019 (2015).

Barry Wardell's site