Vaidya spacetime in Brans–Dicke gravity’s rainbow

Rudra, Prabir; Maity, Sayani

doi:10.1140/epjc/s10052-018-6304-0

Cited by 9 publications

(5 citation statements)

References 78 publications

(58 reference statements)

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“…Now, we are in a position to examine the validity of the first law of thermodynamics for our solutions. By using thermodynamic quantities such as entropy (25), charge (26) and mass (28), in the first law of black hole thermodynamics we get, dM = T dS + U dQ,…”

Section: Basic Field Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background

Aounallah¹,

Zarei²,

Rudra³

et al. 2021

Preprint

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In this paper, we explore the black hole solutions with rainbow deformed metric in the presence of exponential form of nonlinear electrodynamics with asymptotic Reissner-Nordstrom properties. We calculate the exact solution of metric function and explore the geometrical prop- erties in the background of massive gravity. From the obtained solution, the existence of the singularity is confirmed in proper limits. Using the solutions we also investigate the thermody- namic properties of the solutions by checking the validity of the first law of thermodynamics. Continuing the thermodynamic study, we investigate the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy. We also discuss the possible phase transition and the criticality of the system. It was found that the quantum gravitational effects of gravity’s rainbow render the thermodynamic system stable in the vicinity of the singu- larity. From the equation of state it was found that after diverging at the singularity, the system evolves asymptotically into pressure-less dust as one moves away from the central singularity.

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Section: Basic Field Equationsmentioning

confidence: 99%

“…Thus different particles with different energy will experience a different geometry in the rainbow spacetime. Due to its quantum gravity background gravity's rainbow has gained popularity and has been extensively studied in the past two decades [26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background

Aounallah¹,

Zarei²,

Rudra³

et al. 2021

Preprint

Self Cite

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“…Other examples of modified gravity theories are Weyl gravity (Flanagan 2006) arising from non-metricity, Lovelock gravity (Lovelock 1971, Deruelle & Farina-Busto 1990, scalar tensor theories like Brans-Dicke (Brans & Dicke 1961) & Galileon gravity (Nicolis et al 2009, Deffayet et al 2009, Leon & Saridakis 2013, theories based on torsion such as f (T ) (Bengochea & R. Ferraro 2009, Linder 2010, Chen et al 2011, Jamil et al 2012, Bahamonde et al, 2018 and f (T, T G ) theories (Kofinas & Saridakis (I) 2014, Kofinas & Saridakis (II) 2014, Bahamonde et al 2021), etc. Further developments in these theories may be found in , Koyama (2020), Song et al (2020), , Rudra & Maity (2018).…”

Section: Introductionmentioning

confidence: 99%

Constraints on Cubic and $f(P)$ Gravity from the Cosmic Chronometers, BAO & CMB datasets : Use of Machine Learning Algorithms

Giri,

Rudra

2021

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In this work we perform an observational data analysis on Einsteinian cubic gravity and f (P ) gravity with the objective of constraining the parameter space of the theories. We use the 30 point z − H(z) cosmic chronometer data as the observational tool for our analysis along with the BAO and the CMB peak parameters. The χ 2 statistic is used for the fitting analysis and it is minimized to obtain the best fit values for the free model parameters. We have used the Markov chain Monte Carlo algorithm to obtain bounds for the free parameters. To achieve this we used the publicly available CosmoMC code to put parameter bounds and subsequently generate contour plots for them with different confidence intervals. Besides finding the Hubble parameter H in terms of the redshift z theoretically from our gravity models, we have exercised correlation coefficients and two machine learning models, namely the linear regression (LR) and artificial neural network (ANN), for the estimation of H(z). For this purpose, we have developed a Python package for finding the parameter space, performing the subsequent statistical analysis and prediction analysis using machine learning. We compared both of our theoretical and estimated values of H(z) with the observations. It is seen that our theoretical and estimated models from machine learning performed significantly well when compared with the observations.

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Section: Introductionmentioning

confidence: 99%

P − V Criticality of the Non-linear Charged Black Hole Solutions in Massive Gravity

Aounallah¹,

Zarei²,

Rudra³

et al. 2023

Preprint

View full text Add to dashboard Cite

In this paper, we explore the black hole solutions with the rainbow deformed metric in the presence of the exponential form of the nonlinear electrodynamics with asymptotic Reissner- Nordstr ̈om properties. We calculate the exact solution of metric function and explore the geometri- cal properties in the background of massive gravity. From the obtained solution, the existence of the singularity is confirmed in proper limits. Using the solutions we also investigate the thermodynamic properties of the solutions by checking the validity of the first law of thermodynamics. Continuing the thermodynamic study, we investigate the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy. We also discuss the possible phase transition and the criticality of the system. It was found that the quantum gravitational effects of gravity’s rain- bow render the thermodynamic system stable in the vicinity of the singularity. Hence, we obtained a first order phase transition which is interpreted as the large/small black hole phase transition. From the equation of state it was found that after diverging at the singularity, the system evolves asymptotically into pressure-less dust as one moves away from the central singularity. We also calculated the quantum work using the change of the Helmholtz free energy.

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Vaidya spacetime in Brans–Dicke gravity’s rainbow

Cited by 9 publications

References 78 publications

Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background

Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background

Constraints on Cubic and $f(P)$ Gravity from the Cosmic Chronometers, BAO & CMB datasets : Use of Machine Learning Algorithms

P − V Criticality of the Non-linear Charged Black Hole Solutions in Massive Gravity

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