Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-06-12
Class.Quant.Grav.26:055016,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, LaTeX, proofread version accepted 2009 January 14 for publication in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/26/5/055016
VSI (`vanishing scalar invariant') spacetimes have zero values for all total scalar contractions of all polynomials in the Riemann tensor and its covariant derivatives. However, there are other ways of concocting local scalar invariants (nonpolynomial) from the Riemann tensor that need not vanish even in VSI spacetimes, such as Cartan invariants. Simple examples are given that reduce to the squared amplitude for a linearized monochromatic plane gravitational wave. These nonpolynomial local scalar invariants are also evaluated for non-VSI spacetimes such as Schwarzschild and Kerr and are estimated near the surface of the earth. Similar invariants are defined for null fluids and for electromagnetic fields.
No associations
LandOfFree
Nonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-122618