Research

Here I summarize a few of my research endeavors and collaborative work.

Formation of black hole inspirals in accretion disks around supermassive black holes

Not to scale!
cartoon of an AGN

Star formation can occur in massive accretion disks in Active Galactic Nuclei, producing unique stellar populations which seed sources of gravitational waves, including extreme mass ratio inspirals. I've developed a comprehensive model of the formation of these sources, starting with solutions for the structure of accretion disks that become gravitationally unstable. This model derives the properties of in-situ stellar populations, calculates the subsequent evolution of stars in the disk as they migrate and accrete surrounding gas, and determines how many stars eventually coalesce with the central massive black hole.

This work demonstrates the significance of this formation channel, quantifying how low-frequency gravitational wave sources born in accretion disks may constitute a substantial fraction of events detected by space-based detectors.

Due to their evolution in a gaseous environment, the orbital characteristics of these systems will be substantially different from similar events that form via dynamical interactions in dry nuclei. A primary focus of my work is to develop the framework to detect these sources and analyze their waveforms, especially because their detection will provide constraints on accretion disk environments which are spatially unresolvable to electromagnetic observations.

However, there is a lot we still need to learn to understand the complex interplay of processes involved.

Simulation of an accretion disk (0.1 parsec scale) around an MBH
To start with the initial stage, I am working with Simona Pacuraru (University of Birmingham) alongside Noah Kubli and Lucio Mayer (University of Zurich) to model the first stages of fragmentation in an AGN disk. Simona has developed beautiful simualtions using GIZMO-MFM that provide the initial mass of fragments (nascent protostars), their growth rates, and their orbital trajectories — each of these have implications for stellar populations, subsequent BH remnants, and GW source rates. This work also has implications for observational signatures from stellar populations in gas-rich galactic nuclei, which I plan to explore in future work.

Theoretical work in preparation for a space-based gravitational wave observatory

I am an active member of the LISA Astrophysics Working Group in the LISA Science Group. Our white paper, recently published in Living Reviews in Relativity, outlines the capabilities of the LISA mission for driving astrophysical discoveries. You can also check out the official LISA Definition Study report - AKA the Red Book.

Gas morphology of an accretion disk with an embedded 'black hole'

I am currently coordinating one of the first Astro Working Group collaborative projects on a simulation comparison for black hole binary evolution in accretion disks. Here is an example of the surface density of an accretion disk with an embedded perturber, obtained from a 2-dimensional simulation using DISCO. As the BH orbits it perturbs the gas on many scales, and resolving these perturbations is important for determining its orbital evolution. Not all simulations find the same results, so it is critical to compare our techniques to better understand the tools we use to predicdt the fate of this system: will the binary shrink to the scale where it becomes a powerful gravitational wave source? If so, what will its orbital properties be? Can the gas dynamics produce informative electromagnetic or graviational wave signatures? This work is motivated by black hole binaries that we expect LISA to detect, but it is also applicable to studies of planetary migration, where the same process occurs but at a different scale.

Detectability of environmental imprints and eccentricity in milliHz GWs from massive black hole binaries

The evolution of supermassive black hole binaries in gas-rich environments is widely studied for both electromagnetic search campaigns and GW predictions. For binaries that coalesce in the LISA frequency band, interaction with surrounding gas can leave imprints on the waveform, as shown by Mudit Garg (UZH). Environmental interactions can also excite eccentricity in the binary, which, if measurable, can provide deeper insight into how massive black hole binaries form in their respective environments. Recently, Mudit has also shown with a full Bayesian analysis that even residual eccentricities can be measured by LISA, and that under certain conditions, we can distinguish the imprint of gas versus eccentricity in the signal.

Characteristic signatures of accretion disks in gravitational waves

Comparing gas torques during a gravitational wave inspiral

Gas-embedded black hole inspirals experience torques from their environment that are sensitive to poorly-constrained gas properties. With a suite of hydrodynamical simulations, I find that these torques can impart unique imprints in the gravitational waveforms, which presents an opportunity to probe accretion disks solely with gravitational waves.

Interaction with gas can be present in the waveforms of extreme or intermediate mass ratio inspirals as well as binaries of intermediate mass black holes (environmental effects are relevant for more than just EMRI sources!), which was demonstrated in recent works with Mudit Garg.

Time-variable torques on BH inspirals

My simulation studies found that torques on embedded black holes can fluctuate on short timescales. This motivated a study with Lorenz Zwick to calculate the effect of high frequency torque variability on disk-embedded binaries, which can produce multiharmonic and multiband GW emission. This is particularly relevant for EMRIs in turbulent accretion disks, or for more massive SMBH binaries surrounded by circumbinary disks. Recently, Lorenz has shown that if torques imparted on a binary are periodic, or correlated with the binary frequency, this will enhance the detectability of the environment. Periodic forces can occur in a variety of scenarios, including gas interaction, so I am continuing to run simulations to hone in these predictions.

Detecting low frequency GWs with planetary missions

Comparing gravitational wave sensitivity curves of pulsar timing arrays (PTA), the LISA space-based mission, and the Doppler tracking methodology described in this work.

I'm excited to be a part of this work led by Lorenz Zwick and Deniz Souyer, which demonstrates the possibility of detecting milliHz GWs or local dark matter signatures with a solar system mission to Uranus. Analysis of Doppler tracking data during the spacecraft's interplanetary cruise time can be used to measure deviations from its expected trajectory. This analysis has been done for past missions, but this work highlights how stacking several short-term tracking runs can extend the missions GW sensitivity to the microHz gap between Pulsar Timing and and LISA. If we collect enough tracking data, we can probe the population of supermassive black hole binaries that evolve past the nanoHertz band. This is one of the many examples where cool science happens at the intersection of disciplines!

Supermassive black hole binary evolution in circumbinary disks

The interaction of a binary with a surrounding gas disk leads to variable accretion and torques, which has critical implications for the evolution of supermassive black hole binaries during gas-driven hardening stages. A suite of simulations led by Paul Duffell demonstrate how this torque is sensitive to the binary and disc parameters. These systems are prime candidates for electromagnetic signatures associated with GW emission, which you can read about in our Astro2020 white paper.

The role of radiative shocks for dust formation in novae

Schematic of nova ejecta: different viewing angles explain observational diversity

Increasing evidence supports that shocks are ubiquitous in nova outflows and are responsible for powering nova emission across the electromagnetic spectrum. In this work I showed that these shocks can be radiative, producing regions in the ejecta that compress and cool rapidly, which creates prime sites for dust formation within the hot, ionized ejecta. This explains the puzzle of early dust formation in these violent eruptions and presents testable observational implications - check out our Astro2020 white paper.


Andrea Derdzinski

email: aderdzinski (at) fisk (dot) edu
NASA ADS Search
ORCiD
CV (pdf)