Non-linear equation of motion for higher curvature semiclassical gravity
We derive the non-linear semiclassical equation of motion for a general diffeomorphism-invariant theory of gravity by leveraging the thermodynamic properties of closed causal horizons. Our work employs two complementary approaches. The first approach utilizes perturbative quantum gravity applied to...
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| Language: | English |
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000243 |
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| author | Naman Kumar |
| author_facet | Naman Kumar |
| author_sort | Naman Kumar |
| collection | DOAJ |
| description | We derive the non-linear semiclassical equation of motion for a general diffeomorphism-invariant theory of gravity by leveraging the thermodynamic properties of closed causal horizons. Our work employs two complementary approaches. The first approach utilizes perturbative quantum gravity applied to a Rindler horizon. The result is then mapped to a stretched light cone, which can be understood as a union of Rindler planes. Here, we adopt the semiclassical physical process formulation, encapsulated by 〈Q〉=TδSgen where the heat-flux 〈Q〉 is related to the expectation value of stress-energy tensor Tab and Sgen is the generalized entropy. The second approach introduces a “higher curvature” Raychaudhuri equation, where the vanishing of the quantum expansion Θ pointwise as required by restricted quantum focusing establishes an equilibrium condition, δSgen=0, at the null boundary of a causal diamond. While previous studies have only derived the linearized semiclassical equation of motion for higher curvature gravity, our work resolves this limitation by providing a fully non-linear formulation without invoking holography. |
| format | Article |
| id | doaj-art-4716c551ac8b4fb1a65755e234f9db2f |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-4716c551ac8b4fb1a65755e234f9db2f2025-02-10T04:33:56ZengElsevierPhysics Letters B0370-26932025-02-01861139264Non-linear equation of motion for higher curvature semiclassical gravityNaman Kumar0Department of Physics, Indian Institute of Technology Gandhinagar, Palaj, Gujarat, 382355, IndiaWe derive the non-linear semiclassical equation of motion for a general diffeomorphism-invariant theory of gravity by leveraging the thermodynamic properties of closed causal horizons. Our work employs two complementary approaches. The first approach utilizes perturbative quantum gravity applied to a Rindler horizon. The result is then mapped to a stretched light cone, which can be understood as a union of Rindler planes. Here, we adopt the semiclassical physical process formulation, encapsulated by 〈Q〉=TδSgen where the heat-flux 〈Q〉 is related to the expectation value of stress-energy tensor Tab and Sgen is the generalized entropy. The second approach introduces a “higher curvature” Raychaudhuri equation, where the vanishing of the quantum expansion Θ pointwise as required by restricted quantum focusing establishes an equilibrium condition, δSgen=0, at the null boundary of a causal diamond. While previous studies have only derived the linearized semiclassical equation of motion for higher curvature gravity, our work resolves this limitation by providing a fully non-linear formulation without invoking holography.http://www.sciencedirect.com/science/article/pii/S0370269325000243Higher curvature gravityGeneralized entropyEntanglement equilibriumPerturbative quantum gravityStretched light coneCausal diamond |
| spellingShingle | Naman Kumar Non-linear equation of motion for higher curvature semiclassical gravity Physics Letters B Higher curvature gravity Generalized entropy Entanglement equilibrium Perturbative quantum gravity Stretched light cone Causal diamond |
| title | Non-linear equation of motion for higher curvature semiclassical gravity |
| title_full | Non-linear equation of motion for higher curvature semiclassical gravity |
| title_fullStr | Non-linear equation of motion for higher curvature semiclassical gravity |
| title_full_unstemmed | Non-linear equation of motion for higher curvature semiclassical gravity |
| title_short | Non-linear equation of motion for higher curvature semiclassical gravity |
| title_sort | non linear equation of motion for higher curvature semiclassical gravity |
| topic | Higher curvature gravity Generalized entropy Entanglement equilibrium Perturbative quantum gravity Stretched light cone Causal diamond |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000243 |
| work_keys_str_mv | AT namankumar nonlinearequationofmotionforhighercurvaturesemiclassicalgravity |