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Published in 2017 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-017-2195-x
Abstract: Solutions to Einstein’s equations in the form of a Robinson–Trautman metric are presented. In particular, we derive a pure radiation solution which is non-stationary and involves a mass m, The resulting spacetime is of Petrov… read more here.
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Published in 2018 at "Contemporary Physics"
DOI: 10.1080/00107514.2018.1501432
Abstract: rotation would give rise to a more general class of retrodictive solutions of the Einstein equations without a Big Bang and black holes without a singularity. Thus one might imagine that the Friedmann–Lemaitre models, or… read more here.
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Published in 2017 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/aa59ac
Abstract: We take a step towards characterising stationary data for the vacuum Einstein equations, by finding a necessary condition on initial data for which the evolution is a solution of the vacuum equations admitting a Killing… read more here.
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Published in 2020 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ab92ed
Abstract: We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics (in the ADM formalism) which describes… read more here.
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Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.024061
Abstract: Four components of the axisymmetric Einstein equations in 2+1 dimensions with negative cosmological constant can be written as ∇aM = . . . and ∇aJ = . . . , where the dots stand for… read more here.
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Published in 2024 at "Physical Review D"
DOI: 10.1103/physrevd.111.044050
Abstract: We derive a Weyl invariant equation for Gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry.… read more here.
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Published in 2018 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x18502184
Abstract: In this study, we investigate the influences of fermionic q-deformation on the Einstein equations by taking into account of Verlinde’s entropic gravity approach and Strominger’s proposal on quantum black holes. According to Verlinde’s proposal, gravity… read more here.
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Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887820500152
Abstract: We discuss conformally flat plane wave solutions of Einstein equations depending on the plane wave phase [Formula: see text], where [Formula: see text] is the conformal time. We show that ideal fluid Einstein equations and… read more here.