Noncommutative quantum cosmology for the FLRW model in Unimodular Gravity [PDF]
It is well known that classical Unimodular Gravity (UG) is equivalent to General Relativity, but the equivalence at the quantum level is not clear. Here we exhibit, in the UG framework, the Quantum Cosmology (QC) for a Friedmann–Lemaitre–Robertson–Walker
J. A. Astorga-Moreno+2 more
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Unimodular gravity vs general relativity: a status report [PDF]
Unimodular gravity (UG) is an alternative to general relativity (GR) which, however, is so closely related to the latter that one can wonder to what extent they are different.
R. Carballo-Rubio+2 more
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BRST quantization of general relativity in unimodular gauge and unimodular gravity [PDF]
We discuss the BRST quantization of General Relativity (GR) with a cosmological constant in the unimodular gauge. We show how to gauge fix the transverse part of the diffeomorphism and then further to fulfill the unimodular gauge.
T. Kugo, R. Nakayama, N. Ohta
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Teleparallel gravity: from theory to cosmology [PDF]
Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing attention to Einstein’s other theory of gravity. In this Review, we give a comprehensive introduction to how teleparallel geometry is developed as a gauge ...
S. Bahamonde+9 more
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How unimodular gravity theories differ from general relativity at quantum level [PDF]
We investigate path integral quantization of two versions of unimodular gravity. First a fully diffeomorphism-invariant theory is analyzed, which does not include a unimodular condition on the metric, while still being equivalent to other unimodular ...
R. Bufalo+3 more
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A Fundamental Conservation as a Unification of Quantum Theory and Relativity
A fundamental conservation and symmetry is proposed, as a unification between General Relativity (GR) and Quantum Theory (QT). Unification is then demonstrated across multiple applications.
A. Pletcher
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Anamorphic quasiperiodic universes in modified and Einstein gravity with loop quantum gravity corrections [PDF]
The goal of this work is to elaborate on new geometric methods of constructing exact and parametric quasiperiodic solutions for anamorphic cosmology models in modified gravity theories, MGTs, and general relativity, GR.
M. Amaral+5 more
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Beyond Einstein’s General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings [PDF]
Einstein’s General Relativity (GR) is possibly one of the greatest intellectual achievements ever conceived by the human mind. In fact, over the last century, GR has proven to be an extremely successful theory, with a well established experimental ...
T. Harko, F. Lobo
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On Quantum Cosmology in Teleparallel Gravity [PDF]
A quantum cosmology in teleparallel gravity is presented in this article. Teleparallel gravity is used to perform such an analysis once in General Relativity (GR) the concept of gravitational energy is misleading preventing the establishment of a concise
A. Fernandes, S. Ulhoa, R. Amorim
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Using Cosmological Perturbation Theory to Distinguish between GR and Unimodular Gravity
Unimodular gravity is one of the oldest geometric gravity theories and alternatives to general relativity. Essentially, it is based on the Einstein–Hilbert Lagrangian with an additional constraint on the determinant of the metric.
J. Fabris+2 more
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