Gauge invariant perturbations of static spatially compact LRS II spacetimes

Luz, Paulo; Carloni, Sante

http://hdl.handle.net/10400.26/59596

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Gauge invariant perturbations of static spatially compact LRS II spacetimes.pdf		663.74 KB	Adobe PDF	Download

Send Feedback

Authors

Luz, Paulo

Carloni, Sante

Abstract(s)

We present a framework to describe completely general first-order perturbations of static, spatially compact, and locally rotationally symmetric class II spacetimes within the theory of general relativity. The perturbation variables are by construction covariant and identification gauge invariant and encompass the geometry and the thermodynamics of the fluid sources. The new equations are then applied to the study of isotropic, adiabatic perturbations. We discuss how the choice of frame in which perturbations are described can significantly simplify the mathematical analysis of the problem and show that it is possible to change frames directly from the linear level equations. We find explicitly that the case of isotropic, adiabatic perturbations can be reduced to a singular Sturm–Liouville eigenvalue problem, and lower bounds for the values of the eigenfrequencies can be derived. These results lay the theoretical groundwork to analytically describe linear, isotropic, and adiabatic perturbations of static, spherically symmetric spacetimes

URI

http://hdl.handle.net/10400.26/59596

Citation

Luz, P., & Carloni, S. (2024). Gauge invariant perturbations of static spatially compact LRS II spacetimes. Classical and Quantum Gravity, 41(23), 235012.