What is Active Curvature Mass?

In summary, the author discusses the four sources of gravity as described in Schutz's book "Gravitation from the Ground Up". These sources include the density of active gravitational mass, active curvature mass, ordinary momentum, and space-time curvature. While the reader is content with the first, third, and fourth sources, they are unsure of what the author means by the second source, active curvature mass. They ask for clarification and mention their self-taught level in relation to Schutz's book "A First Course in GR". The definition of active curvature mass can be found on page 244 in the section on Einstein's Kitchen: The Recipe for Curving Space.
  • #1
wacki
17
2
I’ve just read Schutz: “Gravitation from ground up”. He says that there are 4 (not all independent) sources of gravity:
1. density of active gravitational mass = (rho + 3 P)
2. active curvature mass (generating spatial curvature) = (rho - P/c^2)
3. ordinary momentum (gravito-magnetism)
4. Space-time curvature itself -> manifestation in non-linearity of EF

I’m happy with 1. 3. and 4. But don’t know what he means with 2. Does anyone know what this means?
If you answer, please consider that my (all self-taught) level is not above e.g Schutz: “A first course in GR”.
 
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What is Active Curvature Mass?

Active Curvature Mass refers to the ability of a material or object to change its shape or curvature under the application of external forces or stimuli. This can be achieved through the use of specialized materials or mechanisms, such as shape memory alloys or actuators.

How is Active Curvature Mass different from traditional materials?

Unlike traditional materials that have fixed shapes and properties, Active Curvature Mass can adapt and change in response to external stimuli. This allows for more flexible and dynamic applications, such as in robotics or biomedical devices.

What are some real-world applications of Active Curvature Mass?

Active Curvature Mass has a wide range of potential applications, including shape-changing wings for aircraft, self-adjusting prosthetics for amputees, and soft robots that can navigate through tight spaces. It can also be used in the development of smart clothing and wearable technology.

What are some challenges in working with Active Curvature Mass?

One of the main challenges in working with Active Curvature Mass is finding suitable materials and mechanisms that can reliably and accurately respond to external stimuli. Another challenge is designing and controlling these materials to achieve the desired shape change without causing damage or failure.

What advancements are being made in the field of Active Curvature Mass?

Researchers are constantly exploring new materials and technologies to improve the capabilities and applications of Active Curvature Mass. Some recent advancements include the development of self-folding origami structures and the use of responsive hydrogels for biomedical applications.

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