Review of some classical gravitational superenergy tensors using computational techniques

Abstract

We use computational algorithms recently developed by us to study completely four index divergence free quadratic in Riemann tensor polynomials in GR. Some results are new and some other reproduce and/or correct known ones. The algorithms are part of a Mathematica package called Tools of Tensor Calculus (TTC)[web address: http://baldufa.upc.es/ttc]

References in corpus (1)

• ATENSOR - REDUCE program for tensor simplification

Cited by in corpus (8)

• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Super-energy tensors
• Aspects of Weyl Supergravity
• On the energy of charged black holes in generalized dilaton-axion gravity
• On the energy of Hořava-Lifshitz black holes
• The Chevreton Tensor and Einstein-Maxwell Spacetimes Conformal to Einstein Spaces
• On second-order, divergence-free tensors
• On the structure of the new electromagnetic conservation laws