Gravitational Helioseismology?
Curt Cutler (Pennsylvania State University), Lee Lindblom (Montana, State University)

TL;DR
This paper evaluates whether solar gravitational oscillations could be detected by LISA, finding that the modes would need to have higher energies than currently expected but below observational limits, with galactic background noise being a limiting factor.
Contribution
It provides an analysis of the gravitational perturbation magnitudes of solar modes and assesses their detectability with LISA, highlighting the energy thresholds needed for observation.
Findings
Solar mode energies must exceed 10^{30} ergs for detection by LISA.
Current expectations for solar mode energies are below the detection threshold.
Galactic background noise may limit LISA's ability to detect solar oscillations.
Abstract
The magnitudes of the external gravitational perturbations associated with the normal modes of the Sun are evaluated to determine whether these solar oscillations could be observed with the proposed Laser Interferometer Space Antenna (LISA), a network of satellites designed to detect gravitational radiation. The modes of relevance to LISA---the , low-order , and -modes---have not been conclusively observed to date. We find that the energy in these modes must be greater than about in order to be observable above the LISA detector noise. These mode energies are larger than generally expected, but are much smaller than the current observational upper limits. LISA may be confusion-limited at the relevant frequencies due to the galactic background from short-period white dwarf binaries. Present estimates of the number of these binaries would require the…
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