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We investigate the classical and quantum dynamics of $f(R)$ gravity's rainbow in the presence of a perfect fluid, employing Schutz's formalism to establish a well-defined notion of time. In the classical regime, we derive and solve the…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Andrés Burton-Villalobos , Giovanni Otalora , Manuel Gonzalez-Espinoza , Yoelsy Leyva

There is a possibility that spacetime itself is ultimately an emergent phenomenon, a near-universal "low-energy long-distance approximation", similar to the way in which fluid mechanics is the near-universal low-energy long-distance…

General Relativity and Quantum Cosmology · Physics 2008-01-04 Matt Visser

The energy of a particle moving on a spacetime, in principle, can affect the background metric. The modifications to it depend on the ratio of energy of the particle and the Planck energy, known as rainbow gravity. Here we find the explicit…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Gaurav Yadav , Baby Komal , Bibhas Ranjan Majhi

Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime. To incorporate DSR into general relativity, one could use gravity's rainbow, where the spacetime background felt by a test particle would…

General Relativity and Quantum Cosmology · Physics 2022-05-27 Yuzhou Tao , Benrong Mu , Siyuan Hui , Jun Tao

Various approaches to quantum gravity such as string theory, loop quantum gravity and Horava-Lifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ahmed Farag Ali , Mohammed M. Khalil

Quantum evolution of a scalar field's modes propagating on quantum spacetime of a collapsing homogeneous dust ball is written effectively, as an evolution of the same quantum modes on a (semiclassical) dressed geometry. When the…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Aliasghar Parvizi , Tomasz Pawłowski , Yaser Tavakoli , Jerzy Lewandowski

By presenting a relation between average energy of the ensemble of probe photons and energy density of the Universe, in the context of {\it gravity's rainbow} or {\it doubly general relativity} scenario, we introduce a rainbow FRW Universe…

General Relativity and Quantum Cosmology · Physics 2015-12-15 M. Khodadi , Y. Heydarzade , K. Nozari , F. Darabi

The entropic force attracts a lot of interest for its multifunctional properties. For instance, Einstein's field equation, Newton's law of gravitation and the Friedmann equation can be derived from the entropic force. In this paper,…

High Energy Physics - Theory · Physics 2020-07-01 Zhong-Wen Feng , Shu-Zheng Yang

Modified uncertainty principle and non-commutative variables may phenomenologically account for quantum gravity effects, independently of the considered theory of quantum gravity. We show that quantum fluids enable experimental analogs and…

Optics · Physics 2018-10-23 Giulia Marcucci , Claudio Conti

In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Zhong-Wen Feng , De-Ling Tang , Dan-Dan Feng , Shu-Zheng Yang

According to some quantum gravity models, Lorentz invariance can be violated in the Planck energy scale. With this motivation, we analyze the thermal quantities and the stability of Schwarzschild black hole surrounded by quintessence in…

General Relativity and Quantum Cosmology · Physics 2023-04-26 B. Hamil , B. C. Lütfüoğlu

In an early work the Rossby Wave Instability (RWI) has been proposed to explain variability thought to originate in the close vicinity of black-holes but this was done in the pseudo-Newtonian approach. Here we present the first general…

High Energy Astrophysical Phenomena · Physics 2018-11-07 F. Casse , P. Varniere , Z. Meliani

Quantum gravity is studied in a semiclassical approximation and it is found that to first order in the Planck length the effect of quantum gravity is to make the low energy effective spacetime metric energy dependent. The diffeomorphism…

High Energy Physics - Theory · Physics 2009-11-11 Lee Smolin

In this paper, we investigate the thermodynamic properties of black holes in the framework of rainbow gravity. By considering rainbow functions in the metric of Schwarzschild and Reissner-Nordstr\"{o}m black holes, remnant and critical…

General Relativity and Quantum Cosmology · Physics 2016-10-17 Sunandan Gangopadhyay , Abhijit Dutta

To see how the gravity's rainbow works for black hole complementary, we evaluate the required energy for duplication of information in the context of black hole complementarity by calculating the critical value of the rainbow parameter in…

General Relativity and Quantum Cosmology · Physics 2015-05-07 Yongwan Gim , Wontae Kim

We obtain a (5+1)-dimensional global flat embedding of modified Schwarzschild black hole in rainbow gravity. We show that local free-fall temperature in rainbow gravity, which depends on different energy $\omega$ of a test particle, is…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Yong-Wan Kim , Young-Jai Park

In this paper, we investigate the quantum dynamics of scalar and oscillator fields in a topological defect space-time background under the influence of rainbow gravity's. The rainbow gravity's are introduced into the considered cosmological…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Faizuddin Ahmed , Abdelmalek Bouzenada

Motivated by UV completion of general relativity with a modification of a geometry at high energy scale, it is expected to have an energy dependent geometry. In this paper, we introduce charged black hole solutions with power Maxwell…

General Relativity and Quantum Cosmology · Physics 2016-09-19 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. Momennia

One of the fundamental open questions in cosmology is whether we can regard the universe evolution without singularity like a Big Bang or a Big Rip. This challenging subject stimulates one to regard a nonsingular universe in the far past…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Seyed Hossein Hendi , Mehrab Momennia , Behzad Eslam Panah , Shahram Panahiyan

Several quantum gravity scenarios lead to physics below the Planck scale characterised by nonlocal, Lorentz invariant equations of motion. We show that such non-local effective field theories lead to a modified Schr\"odinger evolution in…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Alessio Belenchia , Dionigi M. T. Benincasa , Stefano Liberati , Francesco Marin , Francesco Marino , Antonello Ortolan