LoadDef: A Python‐Based Toolkit to Model Elastic Deformation Caused by Surface Mass Loading on Spherically Symmetric Bodies

Static Solutions of the Einstein Equations for Spherically Symmetric Elastic Bodies

We analyze the Einstein equations for a spherically symmetric static distribution of matter which satisfies a given constitutive relation for elastomechanics. After reducing the equations into a system of Fuchsian ODE for certain scalar invariants of the strain, we show that, for a given constitutive relation and a given value of central pressure satisfying certain compatibility conditions, the...

A Sub Loading Surface Multilaminate Model for Elastic-Plastic Porous Media

A framework for development of constitutive models based on semi-micromechanical aspects of plasticity is proposed. The resulting of this model for material employed friction type failure criterion, sub-loading surface, and associated flow rule. This model is capable of predicting effects of the rotation of principal stress/strain axes and consequent plastic flow, induced anisotropy of strength...

Surface gravity in dynamical spherically symmetric spacetimes.

A definition of surface gravity at the apparent horizon of dynamical spherically symmetric spacetimes is proposed. It is based on a unique foliation by ingoing null hypersurfaces. The function parametrizing the hypersurfaces can be interpreted as the phase of a light wave uniformly emitted by some faraway static observer. The definition gives back the accepted value of surface gravity in the st...

Dynamic Deformation of Axially Symmetric Elastic Membranes

A Mass Bound for Spherically Symmetric Black Hole Spacetimes

Requiring that the matter fields are subject to the dominant energy condition, we establish the lower bound (4π)−1κA for the total mass M of a static, spherically symmetric black hole spacetime. (A and κ denote the area and the surface gravity of the horizon, respectively.) Together with the fact that the Komar integral provides a simple relation between M − (4π)κA and the strong energy conditi...