Quantum Gravity and String Theory

    

Solutions to the Gravitational Field Equations in Curved Phase-Spaces}

Authors: Carlos Castro

After reviewing the basics of the geometry of the cotangent bundle of spacetime, via the introduction of nonlinear connections, we build an action and derive the generalized gravitational field equations in phase spaces. A nontrivial solution generalizing the Hilbert-Schwarzschild black hole metric in spacetime is found. The most relevant physical consequence is that the metric becomes momentum-dependent (observer dependent) which is what one should aim for in trying to $quantize$ geometry (gravity) : the observer must play an important role in any measurement (observation) process of the spacetime he/she lives in.

Comments: 16 Pages. Submitted to Physical Review D

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Submission history

[v1] 2016-03-10 05:47:48

Unique-IP document downloads: 340 times

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