6533b856fe1ef96bd12b285d

RESEARCH PRODUCT

Stability of the intrinsic energy vanishing in the Schwarzschild metric under a slow rotation

Juan Antonio Morales-lladosaJuan M. AguirregabiriaRamon Lapiedra

subject

PhysicsGravitacióPhysics and Astronomy (miscellaneous)GaussKerr metricZero (complex analysis)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Stability (probability)General Relativity and Quantum CosmologySlow rotationRelativitat general (Física)Metric (mathematics)Schwarzschild metricEnergy (signal processing)Mathematical physics

description

The linearized Kerr metric is considered and put in some Gauss coordinates which are further {\em intrinsic} ones. The linear and angular 4-momenta of this metric are calculated in these coordinates and the resulting value is just zero. Thus, the global vanishing previously found for the Schwarzschild metric remains linearly stable under slow rotational perturbations of this metric.

https://doi.org/10.1007/s10714-014-1744-9