Einstein Equations from Riemann-only Gravitational Actions

Einstein Equations from Riemann-only Gravitational Actions

Here show that, pure affine actions based solely on the Riemann curvature tensor lead to Einstein field equations for gravitation. The matter and radiation involved are general enough to impose no restrictions on material dynamics or vacuum structure. This dynamical equivalence to General Relativity...

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Hauptverfasser: Demir, Durmus, Dogangun, Oktay, Rador, Tonguc, Soysal, Selin
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Sprache:eng
Schlagworte:
Mathematics - Mathematical Physics
Physics - Cosmology and Nongalactic Astrophysics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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creator Demir, Durmus
Dogangun, Oktay
Rador, Tonguc
Soysal, Selin
description Here show that, pure affine actions based solely on the Riemann curvature tensor lead to Einstein field equations for gravitation. The matter and radiation involved are general enough to impose no restrictions on material dynamics or vacuum structure. This dynamical equivalence to General Relativity can be realized via also diffeomorphism breaking.
doi_str_mv 10.48550/arxiv.1105.4750
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subjects Mathematics - Mathematical Physics
Physics - Cosmology and Nongalactic Astrophysics
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
title Einstein Equations from Riemann-only Gravitational Actions
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