3 years ago

The Energy–Momentum Tensor of Gravitational Waves, Wyman Spacetime, and Freely Falling Observers

Jansen B. Formiga


A good definition for the energy–momentum tensor of gravity (EMTG) in general relativity (GR) is a hard, if not impossible, task. On the other hand, in its teleparallel version, known as the teleparallel equivalent of general relativity (TEGR), the EMTG can be defined in a very satisfactory way. Here, it is proved that the EMTG of TEGR for linearized gravitational waves (GWs) is the same as the version of GR that is usually given in the literature. In addition, the exact version of the EMTG for a p p ‐wave with a + polarization is obtained in a freely falling frame (FFF). Unlike the previous case, the energy density can be either positive or negative, depending on the details of the wave. The gravitational energy density for the Wyman spacetimes is obtained both in a static frame and in an FFF. It turns out that observers in free fall can measure the effects of gravity.

Open access
You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.