General Relativity

Einstein's true reason for the cosmological constant

The real reason why Einstein introduced the Cosmological Constant

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We have always been taught that Einstein introduced the cosmological constant in 1917 in his field equations of General Relativity to satisfy his desire of a static universe. But this is not true, and it hides the true reason why Einstein first thought about the cosmological constant: the problem of boundary conditions and Mach’s principle in General Relativity. We explore how Machian General Relativity is, and Brans-Dicke theory.

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Relativity of acceleration

Relativity of acceleration and Mach’s solution to the twin paradox

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Special Relativity features absolute acceleration for consistency. Einstein’s wish to relativize acceleration was not achieved, not even in General Relativity. Under a Machian perspective, Special Relativity does not feature time dilation or length contraction in empty space, unless an absolute background Minkowskian metric exists. How can acceleration be relativized? Which is Mach’s solution to the twin paradox?

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Regular black hole interior solutions in classical gravity violating Penrose’s energy conditions

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General Relativity and Penrose’s singularity theorems directly point towards the solution to gravitational singularities at back hole interiors in a classical way through negative masses violating energy conditions. This implies a mechanism to switch from positive to negative masses and energies at the event horizon, which is thought to be a time transformation. The solution to geodesic incompleteness in black holes is an open problem which could hint a more complete theory of gravity and explain the nature of time.

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The ideal weighing box thought experiment and gravitational shielding

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Spacetime going through a double slit experiment and the superposition of spacetime is the main thought experiment in quantum gravity. But can a simpler and non-quantum thought experiment with a box tell us more about the true nature of gravity? Can this thought experiment be performed in an approximated way? Is there partial gravitational shielding when energy can be absorbed from a gravitational wave?

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