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Summary

In this chapter, the geometric description of generic branes in Yang–Mills matrix model is elaborated, and structures familiar from gravity are identified. The dynamics resulting from the classical model is interpreted as pre-gravity.

Summary

An introduction to field Lagrangians for scalars, vectors, and the Einstein–Hilbert Lagrangian for gravity provides a venue to think about coupling together different field theories. The natural expression of that coupling comes from an action, and we show how the “Euler–Lagrange” field equations enforce the universal coupling of all physical theories to gravity. As an example, the combined field equations of electricity & magnetism and gravity are solved in the spherically symmetric case to give the Reissner–Nordstrøm spacetime associated with the exterior of charged, massive, spherically symmetric central bodies.

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9 - Geometry and dynamics in Yang–Mills matrix models

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7 - Field Theories and Gravity

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2 results

9 - Geometry and dynamics in Yang–Mills matrix models

Summary

7 - Field Theories and Gravity

Summary