Thesis (Ph. D.)--University of Michigan, 1916. / "Reprinted from the Publications of the Observatory of the University of Michigan, vol. II."

Thesis (Ph. D.)--University of Chicago, 1914. / "Private edition, distributed by the University of Chicago libraries, Chicago, Illinois." "Reprinted from the Astrophysical journal, vol. L, no. 3, October, 1919." Includes bibliographical references.

Thesis (Ph. D.)--University of Michigan, 1932. / Caption title. Thesis note on p. 9.

Thesis (PH. D.)--University of Michigan, 1916. / "Reprinted from the Publications of the Observatory of the University of Michigan, vol. II."

Thesis (Ph. D.)--University of Chicago, 1914. / "Private edition, distributed by the University of Chicago libraries, Chicago, Illinois." "Reprinted from the Astrophysical journal, vol. L, no. 3, October, 1919." Includes bibliographical references.

We have been intensely monitoring photometric variability in proto-planetary nebulae (PPNe) over the past 25 years and radial velocity variability over the past ten years. Pulsational variability has been obvious, in both the light and velocity, although the resulting curves are complex, with multiple periods and varying amplitudes. Observed periods range from 25 to 160 days, and the periods and amplitudes reveal evolutionary trends. We will present our observational results to date for approximately 30 PPNe, and discuss these results, including the search for period changes that might help constrain post-AGB evolutionary timescales.

This report will first give a brief background on asymptotic giant branch (AGB) stars and the characteristics that make them interesting to study. Some methods and tools used in the field are then introduced, before the photometric variability of these stars is investigated. This is achieved by using data from dynamical models of AGB stars with differing chemical abundances. The R, J and K bands of the UBVRI system are specifcally investigated to explore whether these are good candidates for AGB photometric and spectroscopic research. Lastly, the molecular features at these wavelengths are investigated to understand the impact that they have on the photometric variability during the pulsation cycle and which molecules are most prominent in this.

<p>This article-based dissertation provides a review on the broad subject of magnetars-their characteristics, giant flares (GFs) and associated observations of X-ray, gamma-ray, and radio emissions and their proposed physical mechanisms. The primary purpose of this dissertation is to provide an extensive description of the two research projects I undertook during my tenure as a Graduate Research Assistant, under the guidance of my advisor. Broadly, my research was focused on building analytical models and running three-dimensional (3-D), high-resolution magnetohydrodynamic (MHD) simulations using the astrophysical PLUTO code to investigate the physical mechanisms behind high-energy (X-ray and gamma-ray) and radio emissions associated with magnetar GFs using observational constraints. This, in turn, aided in either validating or disfavoring existing theories behind such energetic explosions.</p><p>Chapter 1 provides a review on magnetars, their GFs and associated high-energy and radio emissions, largely based on excellent reviews by [1]–[5]. I summarize interesting observational features of magnetars, specifically those of soft gamma-ray repeaters (SGRs) and anomalous X-ray pulsars (AXPs), along with known aspects of their X-ray and gamma-ray activity. I focus on the December 27, 2004 GF emitted by SGR 1806-20, the most energetic GF out of the three that occurred to date, describe its energetics and summarize existing theories behind the physical mechanisms that give rise to two emission characteristics associated with the GF - (i) quasi-periodic oscillations (QPOs) seen in the tail, and (ii) a radio afterglow detected a week after the GF. Lastly, I describe the methods I used to hypothesize the physical mechanisms behind QPOs and the radio emission and compare and contrast them with those suggested previously.</p><p>In chapter 2, I present a version of the research article in preparation and pending publication in the Monthly Notices of the Royal Astronomical Society. The work titled “Radio afterglow of magnetars’ giant flares”, undertaken under the supervision of Dr. Maxim Lyutikov and in collaboration with Dr. Maxim Barkov, explores the possible physical mechanisms behind the radio afterglow associated with the SGR 1806-20 GF using high-resolution 3-D MHD simulations.</p><p>In chapter 3, I present a version of the research article previously published by the Journal of Plasma Physics. The work titled “Tilting instability of magnetically confined spheromaks”, undertaken under the supervision of Dr. Maxim Lyutikov, in collaboration with Dr. Lorenzo Sironi and Dr. Maxim Barkov, investigates the tilting instability of a magnetically confined spheromak using 3-D MHD and relativistic particle-in-cell (PIC) simulations with an application to astrophysical plasmas, specifically to explain the QPOs arising in the tail of the SGR 1806-20 GF.</p><p>I summarize the main results and conclusions of the two research projects and describe future prospects in chapter 4, followed by appendices A and B which describe additional theoretical concepts and simulation results for a better understanding of the nature of radio afterglows associated with GFs, and structure of spheromaks. References are compiled after the appendices in order that they are first cited, followed by a brief autobiographical sketch, and a list of publications.<br></p>

Some of the brightest and most energetic events in the Universe are associated with the death of stars. These stellar deaths power transient electromagnetic emission which are routinely observed on Earth. This dissertation presents our research on various such transients. Its topics includes, supernova remnants, kilonovae, gamma-ray bursts (GRBs): The "long'' type produced from core-collapse supernovae and the "short'' type associated with neutron star merger events. It also focuses on the disruption of stars by the tidal forces of supermassive black holes i.e., tidal disruption events (TDEs). We model the emission from these transients and compare them to observations in order to draw a number of conclusions and make predictions for future detections. For example, we find that the non-thermal emission from supernovae and kilonovae associated with GRBs can produce long term emission which may be detected as a re-brightening in the overall emission. The sharp cut off observed in some TDE flares can be caused by a pre-existing accretion disk present around a supermassive black hole, which is expected in active galactic nuclei. Our work successfully predicted the nature of the very first electromagnetic detection from a neutron star merger, and was able to reproduce the emission that had been observed for more than one hundred days after the merger. This dissertation also provides frameworks on how the observable features of these transients can be leveraged to probe the properties of the progenitor system and their environment. <br>

The physics pertaining to the asymptotic giant branch (AGB) phase of stellar evolution has been studied for many years. However, the mechanics behind many characteristics displayed at this stage are still not fully understood. As a member of the Long Period Variable class of stars, AGB stars are invaluable in creating three-dimensional maps of the Milky Way, the Magellanic System and other galaxies with resolved stellar populations. Variable stars can be used to determine radial distances from Earth using their periodic luminosity variations. As this type of star has unknown qualities, models of AGB populations need to be calibrated with observed data. Previous research has derived a best-fitting model using the TRILEGAL code (a TRIdimensional modeL of thE GALaxy). This model was calibrated against single-epoch luminosity functions (LFs) calculated from resolved stellar populations in the Small Magellanic Cloud (SMC). With multi-epoch data now available from the VISTA survey of the Magellanic Clouds (VMC), this best-fitting model can now be compared with the LFs as they vary with time. Firstly, statistical tests are completed to measure the extent of the LF variation between epochs and from the mean LF for both the full VMC AGB catalogue and for the oxygen-rich, carbon-rich and extreme AGB classes. Statistical tests are then performed to measure the similarity between the LFs from different epochs and the simulated LFs, again for the entire sample and the three classes. This investigation shows that, while the current best-fitting model is a good approximation of many individual epochs’ AGB LFs in the SMC to within 3σ, inclusion of multi-epoch data would make for a more robust analysis. In order to do this, it would be desirable to have more epochs with deeper and regular observations that could cover full lightcurves of some of the sources. There also seems to be a statistical difference between the inner and outer areas of the SMC, perhaps due to tidal disruptions. It would be interesting to see the results of a similar study using the LMC, which is less affected by the gravitational influence of its smaller companion. / <p>This thesis was written under the supervision of Maria-Rosa Cioni at the Leibniz Institute for Astrophysics in Potsdam. The presentation was held online due to the COVID-19 pandemic.</p>